72589279798910 has 256 divisors, whose sum is σ = 160711951841280. Its totient is φ = 23041838776320.

The previous prime is 72589279798901. The next prime is 72589279798951. The reversal of 72589279798910 is 1989797298527.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26579742245 + ... + 26579744975.

It is an arithmetic number, because the mean of its divisors is an integer number (627781061880).

Almost surely, 2^{72589279798910} is an apocalyptic number.

72589279798910 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

72589279798910 is an abundant number, since it is smaller than the sum of its proper divisors (88122672042370).

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

72589279798910 is a wasteful number, since it uses less digits than its factorization.

72589279798910 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4291.

The product of its (nonzero) digits is 2880541440, while the sum is 83.

The spelling of 72589279798910 in words is "seventy-two trillion, five hundred eighty-nine billion, two hundred seventy-nine million, seven hundred ninety-eight thousand, nine hundred ten".