72547328 has 88 divisors (see below), whose sum is σ = 171948000. Its totient is φ = 29933568.

The previous prime is 72547309. The next prime is 72547331. The reversal of 72547328 is 82374527.

It is a super-2 number, since 2×72547328² = 10526229599879168, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 72547291 and 72547300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 207698 + ... + 208046.

Almost surely, 2^72547328 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 72547328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85974000).

72547328 is an abundant number, since it is smaller than the sum of its proper divisors (99400672).

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

72547328 is a wasteful number, since it uses less digits than its factorization.

72547328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 387 counting only the distinct ones).

The product of its digits is 94080, while the sum is 38.

The square root of 72547328 is about 8517.4719254013. The cubic root of 72547328 is about 417.0682603475.

The spelling of 72547328 in words is "seventy-two million, five hundred forty-seven thousand, three hundred twenty-eight".