72881628 has 24 divisors (see below), whose sum is σ = 170262288. Its totient is φ = 24264576.

The previous prime is 72881623. The next prime is 72881647. The reversal of 72881628 is 82618827.

It is a self number, because there is not a number n which added to its sum of digits gives 72881628.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72881621) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8250 + ... + 14622.

It is an arithmetic number, because the mean of its divisors is an integer number (7094262).

Almost surely, 2^72881628 is an apocalyptic number.

It is an amenable number.

72881628 is an abundant number, since it is smaller than the sum of its proper divisors (97380660).

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

72881628 is a wasteful number, since it uses less digits than its factorization.

72881628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7333 (or 7331 counting only the distinct ones).

The product of its digits is 86016, while the sum is 42.

The square root of 72881628 is about 8537.0737375286. The cubic root of 72881628 is about 417.7078993730.

The spelling of 72881628 in words is "seventy-two million, eight hundred eighty-one thousand, six hundred twenty-eight".