72985008 has 40 divisors (see below), whose sum is σ = 189918400. Its totient is φ = 24151104.

The previous prime is 72985007. The next prime is 72985009. The reversal of 72985008 is 80058927.

It is an interprime number because it is at equal distance from previous prime (72985007) and next prime (72985009).

It is a super-2 number, since 2×72985008² = 10653622785520128, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72985007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1203 + ... + 12141.

It is an arithmetic number, because the mean of its divisors is an integer number (4747960).

Almost surely, 2^72985008 is an apocalyptic number.

It is an amenable number.

72985008 is an abundant number, since it is smaller than the sum of its proper divisors (116933392).

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

72985008 is a wasteful number, since it uses less digits than its factorization.

72985008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11089 (or 11083 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The square root of 72985008 is about 8543.1263598287. The cubic root of 72985008 is about 417.9053073354.

The spelling of 72985008 in words is "seventy-two million, nine hundred eighty-five thousand, eight".