72329760 has 120 divisors (see below), whose sum is σ = 255309516. Its totient is φ = 19284480.

The previous prime is 72329737. The next prime is 72329767. The reversal of 72329760 is 6792327.

It can be written as a sum of positive squares in 2 ways, for example, as 70358544 + 1971216 = 8388^2 + 1404^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (72329767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10170 + ... + 15750.

Almost surely, 2^72329760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72329760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127654758).

72329760 is an abundant number, since it is smaller than the sum of its proper divisors (182979756).

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

72329760 is a wasteful number, since it uses less digits than its factorization.

72329760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5608 (or 5591 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 72329760 is about 8504.6904705580. The cubic root of 72329760 is about 416.6509163824.

The spelling of 72329760 in words is "seventy-two million, three hundred twenty-nine thousand, seven hundred sixty".