72636958771 has 16 divisors (see below), whose sum is σ = 79456204800. Its totient is φ = 65995303968.

The previous prime is 72636958763. The next prime is 72636958831. The reversal of 72636958771 is 17785963627.

It is a cyclic number.

It is not a de Polignac number, because 72636958771 - 2³ = 72636958763 is a prime.

It is a super-4 number, since 4×72636958771⁴ (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72636958721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1063470 + ... + 1129708.

It is an arithmetic number, because the mean of its divisors is an integer number (4966012800).

Almost surely, 2^72636958771 is an apocalyptic number.

72636958771 is a deficient number, since it is larger than the sum of its proper divisors (6819246029).

72636958771 is a wasteful number, since it uses less digits than its factorization.

72636958771 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67578.

The product of its digits is 26671680, while the sum is 61.

The spelling of 72636958771 in words is "seventy-two billion, six hundred thirty-six million, nine hundred fifty-eight thousand, seven hundred seventy-one".