72872980 has 96 divisors (see below), whose sum is σ = 170069760. Its totient is φ = 26127360.

The previous prime is 72872977. The next prime is 72873001. The reversal of 72872980 is 8927827.

72872980 = T₁₉ + T₂₀ + ... + T₇₅₈.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 998224 + ... + 998296.

It is an arithmetic number, because the mean of its divisors is an integer number (1771560).

Almost surely, 2^72872980 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 72872980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85034880).

72872980 is an abundant number, since it is smaller than the sum of its proper divisors (97196780).

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

72872980 is a wasteful number, since it uses less digits than its factorization.

72872980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 43.

The square root of 72872980 is about 8536.5672257647. The cubic root of 72872980 is about 417.6913772357.

The spelling of 72872980 in words is "seventy-two million, eight hundred seventy-two thousand, nine hundred eighty".