72662235005710 has 128 divisors (see below), whose sum is σ = 152267072348160. Its totient is φ = 24451181282304.

The previous prime is 72662235005707. The next prime is 72662235005713. The reversal of 72662235005710 is 1750053226627.

It is an interprime number because it is at equal distance from previous prime (72662235005707) and next prime (72662235005713).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72662235005713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1767186072 + ... + 1767227188.

It is an arithmetic number, because the mean of its divisors is an integer number (1189586502720).

Almost surely, 2^{72662235005710} is an apocalyptic number.

72662235005710 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

72662235005710 is an abundant number, since it is smaller than the sum of its proper divisors (79604837342450).

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

72662235005710 is a wasteful number, since it uses less digits than its factorization.

72662235005710 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42890.

The product of its (nonzero) digits is 1058400, while the sum is 46.

The spelling of 72662235005710 in words is "seventy-two trillion, six hundred sixty-two billion, two hundred thirty-five million, five thousand, seven hundred ten".