72805880 has 64 divisors (see below), whose sum is σ = 191600640. Its totient is φ = 24377472.

The previous prime is 72805877. The next prime is 72805907. The reversal of 72805880 is 8850827.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9017 + ... + 15063.

It is an arithmetic number, because the mean of its divisors is an integer number (2993760).

Almost surely, 2^72805880 is an apocalyptic number.

72805880 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72805880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95800320).

72805880 is an abundant number, since it is smaller than the sum of its proper divisors (118794760).

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

72805880 is a wasteful number, since it uses less digits than its factorization.

72805880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6108 (or 6104 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 38.

The square root of 72805880 is about 8532.6361694379. The cubic root of 72805880 is about 417.5631372118.

The spelling of 72805880 in words is "seventy-two million, eight hundred five thousand, eight hundred eighty".