72055040972032 has 144 divisors (see below), whose sum is σ = 146818107491328. Its totient is φ = 35281318625280.

The previous prime is 72055040971973. The next prime is 72055040972041. The reversal of 72055040972032 is 23027904055027.

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, 28581926932 + ... + 28581929452.

It is an arithmetic number, because the mean of its divisors is an integer number (1019570190912).

Almost surely, 2^{72055040972032} 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 72055040972032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73409053745664).

72055040972032 is an abundant number, since it is smaller than the sum of its proper divisors (74763066519296).

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

72055040972032 is a wasteful number, since it uses less digits than its factorization.

72055040972032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5716 (or 5702 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 46.

The spelling of 72055040972032 in words is "seventy-two trillion, fifty-five billion, forty million, nine hundred seventy-two thousand, thirty-two".