72323882761 has 27 divisors (see below), whose sum is σ = 79416943893. Its totient is φ = 65834308800.

The previous prime is 72323882737. The next prime is 72323882767. The reversal of 72323882761 is 16728832327.

It is a happy number.

The square root of 72323882761 is 268931.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 6428992761 + 65894890000 = 80181^2 + 256700^2 .

It is not a de Polignac number, because 72323882761 - 2⁷ = 72323882633 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72323882767) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 478966036 + ... + 478966186.

Almost surely, 2^72323882761 is an apocalyptic number.

72323882761 is the 268931-st square number.

72323882761 is the 134466-th centered octagonal number.

It is an amenable number.

72323882761 is a deficient number, since it is larger than the sum of its proper divisors (7093061132).

72323882761 is an equidigital number, since it uses as much as digits as its factorization.

72323882761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 301 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 49.

Multiplying 72323882761 by its sum of digits (49), we get a square (3543870255289 = 1882517²).

The spelling of 72323882761 in words is "seventy-two billion, three hundred twenty-three million, eight hundred eighty-two thousand, seven hundred sixty-one".