72872580 has 96 divisors (see below), whose sum is σ = 228106368. Its totient is φ = 17228800.

The previous prime is 72872567. The next prime is 72872623. The reversal of 72872580 is 8527827.

72872580 = T₂₁ + T₂₂ + ... + T₇₅₈.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

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, 25714 + ... + 28406.

It is an arithmetic number, because the mean of its divisors is an integer number (2376108).

Almost surely, 2^72872580 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 72872580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114053184).

72872580 is an abundant number, since it is smaller than the sum of its proper divisors (155233788).

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

72872580 is a wasteful number, since it uses less digits than its factorization.

72872580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2757 (or 2755 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 39.

The square root of 72872580 is about 8536.5437971113. The cubic root of 72872580 is about 417.6906129979.

The spelling of 72872580 in words is "seventy-two million, eight hundred seventy-two thousand, five hundred eighty".