72007056 has 100 divisors (see below), whose sum is σ = 227400624. Its totient is φ = 21816000.

The previous prime is 72007027. The next prime is 72007057. The reversal of 72007056 is 65070027.

It is a super-2 number, since 2×72007056² = 10370032227574272, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (72007057) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11731 + ... + 16781.

Almost surely, 2^72007056 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 72007056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113700312).

72007056 is an abundant number, since it is smaller than the sum of its proper divisors (155393568).

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

72007056 is a wasteful number, since it uses less digits than its factorization.

72007056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5082 (or 5067 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 72007056 is about 8485.6971428398. The cubic root of 72007056 is about 416.0303540474.

The spelling of 72007056 in words is "seventy-two million, seven thousand, fifty-six".