72513882 has 48 divisors (see below), whose sum is σ = 180116352. Its totient is φ = 20653920.

The previous prime is 72513869. The next prime is 72513887. The reversal of 72513882 is 28831527.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72513887) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 52363 + ... + 53729.

It is an arithmetic number, because the mean of its divisors is an integer number (3752424).

Almost surely, 2^72513882 is an apocalyptic number.

72513882 is an abundant number, since it is smaller than the sum of its proper divisors (107602470).

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

72513882 is a wasteful number, since it uses less digits than its factorization.

72513882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1803 (or 1800 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 72513882 is about 8515.5083230539. The cubic root of 72513882 is about 417.0041577834.

The spelling of 72513882 in words is "seventy-two million, five hundred thirteen thousand, eight hundred eighty-two".