72056576 has 36 divisors (see below), whose sum is σ = 144751992. Its totient is φ = 35798016.

The previous prime is 72056573. The next prime is 72056581. The reversal of 72056576 is 67565027.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72056573) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 43475 + ... + 45101.

Almost surely, 2^72056576 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 72056576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72375996).

72056576 is an abundant number, since it is smaller than the sum of its proper divisors (72695416).

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

72056576 is a wasteful number, since it uses less digits than its factorization.

72056576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1816 (or 1802 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 38.

The square root of 72056576 is about 8488.6144923656. The cubic root of 72056576 is about 416.1257016582.

The spelling of 72056576 in words is "seventy-two million, fifty-six thousand, five hundred seventy-six".