72470160 has 160 divisors (see below), whose sum is σ = 285338880. Its totient is φ = 16561152.

The previous prime is 72470147. The next prime is 72470183. The reversal of 72470160 is 6107427.

It is a super-3 number, since 3×72470160³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 12724 + ... + 17516.

It is an arithmetic number, because the mean of its divisors is an integer number (1783368).

Almost surely, 2^72470160 is an apocalyptic number.

72470160 is a gapful number since it is divisible by the number (70) 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 72470160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142669440).

72470160 is an abundant number, since it is smaller than the sum of its proper divisors (212868720).

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

72470160 is a wasteful number, since it uses less digits than its factorization.

72470160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4822 (or 4810 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 72470160 is about 8512.9407374890. The cubic root of 72470160 is about 416.9203305176.

Adding to 72470160 its reverse (6107427), we get a palindrome (78577587).

The spelling of 72470160 in words is "seventy-two million, four hundred seventy thousand, one hundred sixty".