72182764401 has 32 divisors (see below), whose sum is σ = 108432568320. Its totient is φ = 42315393600.

The previous prime is 72182764399. The next prime is 72182764481. The reversal of 72182764401 is 10446728127.

It is not a de Polignac number, because 72182764401 - 2¹ = 72182764399 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72182764481) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2237655 + ... + 2269683.

It is an arithmetic number, because the mean of its divisors is an integer number (3388517760).

Almost surely, 2^72182764401 is an apocalyptic number.

It is an amenable number.

72182764401 is a deficient number, since it is larger than the sum of its proper divisors (36249803919).

72182764401 is a wasteful number, since it uses less digits than its factorization.

72182764401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34277.

The product of its (nonzero) digits is 150528, while the sum is 42.

The spelling of 72182764401 in words is "seventy-two billion, one hundred eighty-two million, seven hundred sixty-four thousand, four hundred one".