66724152 has 96 divisors (see below), whose sum is σ = 188749440. Its totient is φ = 19492800.

The previous prime is 66724129. The next prime is 66724159. The reversal of 66724152 is 25142766.

66724152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×66724152² = 8904224920238208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66724159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 253573 + ... + 253835.

It is an arithmetic number, because the mean of its divisors is an integer number (1966140).

Almost surely, 2^66724152 is an apocalyptic number.

66724152 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66724152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94374720).

66724152 is an abundant number, since it is smaller than the sum of its proper divisors (122025288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

66724152 is a wasteful number, since it uses less digits than its factorization.

66724152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 310 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 66724152 is about 8168.4852941044. The cubic root of 66724152 is about 405.5966453589.

The spelling of 66724152 in words is "sixty-six million, seven hundred twenty-four thousand, one hundred fifty-two".