72282880 has 72 divisors (see below), whose sum is σ = 174762000. Its totient is φ = 28643328.

The previous prime is 72282869. The next prime is 72282901. The reversal of 72282880 is 8828227.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 190531 + ... + 190909.

It is an arithmetic number, because the mean of its divisors is an integer number (2427250).

Almost surely, 2^72282880 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 72282880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87381000).

72282880 is an abundant number, since it is smaller than the sum of its proper divisors (102479120).

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

72282880 is a wasteful number, since it uses less digits than its factorization.

72282880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 37.

The square root of 72282880 is about 8501.9338976494. The cubic root of 72282880 is about 416.5608805224.

The spelling of 72282880 in words is "seventy-two million, two hundred eighty-two thousand, eight hundred eighty".