72056516 has 48 divisors (see below), whose sum is σ = 154103040. Its totient is φ = 28807680.

The previous prime is 72056497. The next prime is 72056527. The reversal of 72056516 is 61565027.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25040 + ... + 27768.

It is an arithmetic number, because the mean of its divisors is an integer number (3210480).

Almost surely, 2^72056516 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 72056516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77051520).

72056516 is an abundant number, since it is smaller than the sum of its proper divisors (82046524).

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

72056516 is a wasteful number, since it uses less digits than its factorization.

72056516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2804 (or 2802 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 32.

The square root of 72056516 is about 8488.6109582193. The cubic root of 72056516 is about 416.1255861584.

The spelling of 72056516 in words is "seventy-two million, fifty-six thousand, five hundred sixteen".