72056328 has 48 divisors (see below), whose sum is σ = 182549520. Its totient is φ = 23701536.

The previous prime is 72056323. The next prime is 72056333. The reversal of 72056328 is 82365027.

It is an interprime number because it is at equal distance from previous prime (72056323) and next prime (72056333).

It is a super-2 number, since 2×72056328² = 10384228809687168, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72056323) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 254475 + ... + 254757.

It is an arithmetic number, because the mean of its divisors is an integer number (3803115).

Almost surely, 2^72056328 is an apocalyptic number.

It is an amenable number.

72056328 is an abundant number, since it is smaller than the sum of its proper divisors (110493192).

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

72056328 is a wasteful number, since it uses less digits than its factorization.

72056328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 72056328 is about 8488.5998845510. The cubic root of 72056328 is about 416.1252242588.

The spelling of 72056328 in words is "seventy-two million, fifty-six thousand, three hundred twenty-eight".