72328680 has 128 divisors (see below), whose sum is σ = 243043200. Its totient is φ = 19132416.

The previous prime is 72328621. The next prime is 72328691. The reversal of 72328680 is 8682327.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 208267 + ... + 208613.

It is an arithmetic number, because the mean of its divisors is an integer number (1898775).

Almost surely, 2^72328680 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 72328680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121521600).

72328680 is an abundant number, since it is smaller than the sum of its proper divisors (170714520).

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

72328680 is a wasteful number, since it uses less digits than its factorization.

72328680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 72328680 is about 8504.6269759467. The cubic root of 72328680 is about 416.6488426153.

It can be divided in two parts, 723 and 28680, that added together give a triangular number (29403 = T₂₄₂).

The spelling of 72328680 in words is "seventy-two million, three hundred twenty-eight thousand, six hundred eighty".