72724961 has 2 divisors, whose sum is σ = 72724962. Its totient is φ = 72724960.

The previous prime is 72724931. The next prime is 72724973. The reversal of 72724961 is 16942727.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71503936 + 1221025 = 8456^2 + 1105^2 .

It is a cyclic number.

It is not a de Polignac number, because 72724961 - 2²⁶ = 5616097 is a prime.

It is not a weakly prime, because it can be changed into another prime (72724921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36362480 + 36362481.

It is an arithmetic number, because the mean of its divisors is an integer number (36362481).

Almost surely, 2^72724961 is an apocalyptic number.

It is an amenable number.

72724961 is a deficient number, since it is larger than the sum of its proper divisors (1).

72724961 is an equidigital number, since it uses as much as digits as its factorization.

72724961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 42336, while the sum is 38.

The square root of 72724961 is about 8527.8931161219. The cubic root of 72724961 is about 417.4083817752.

The spelling of 72724961 in words is "seventy-two million, seven hundred twenty-four thousand, nine hundred sixty-one".