72547008 has 56 divisors (see below), whose sum is σ = 192651888. Its totient is φ = 24093696.

The previous prime is 72546989. The next prime is 72547039. The reversal of 72547008 is 80074527.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 72547008.

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, 71110 + ... + 72122.

Almost surely, 2^72547008 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 72547008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96325944).

72547008 is an abundant number, since it is smaller than the sum of its proper divisors (120104880).

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

72547008 is a wasteful number, since it uses less digits than its factorization.

72547008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1401 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 33.

The square root of 72547008 is about 8517.4531404640. The cubic root of 72547008 is about 417.0676471292.

The spelling of 72547008 in words is "seventy-two million, five hundred forty-seven thousand, eight".