72612056 has 64 divisors (see below), whose sum is σ = 158004000. Its totient is φ = 30965760.

The previous prime is 72612047. The next prime is 72612073. The reversal of 72612056 is 65021627.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent 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, 94040 + ... + 94808.

Almost surely, 2^72612056 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 72612056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79002000).

72612056 is an abundant number, since it is smaller than the sum of its proper divisors (85391944).

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

72612056 is a wasteful number, since it uses less digits than its factorization.

72612056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 72612056 is about 8521.2707972461. The cubic root of 72612056 is about 417.1922620179.

The spelling of 72612056 in words is "seventy-two million, six hundred twelve thousand, fifty-six".