72916577 has 8 divisors (see below), whose sum is σ = 73761000. Its totient is φ = 72077184.

The previous prime is 72916537. The next prime is 72916607. The reversal of 72916577 is 77561927.

It can be written as a sum of positive squares in 4 ways, for example, as 1615441 + 71301136 = 1271^2 + 8444^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72916577 - 2⁶ = 72916513 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72916537) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33053 + ... + 35189.

It is an arithmetic number, because the mean of its divisors is an integer number (9220125).

Almost surely, 2^72916577 is an apocalyptic number.

It is an amenable number.

72916577 is a deficient number, since it is larger than the sum of its proper divisors (844423).

72916577 is a wasteful number, since it uses less digits than its factorization.

72916577 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2515.

The product of its digits is 185220, while the sum is 44.

The square root of 72916577 is about 8539.1203879557. The cubic root of 72916577 is about 417.7746566658.

The spelling of 72916577 in words is "seventy-two million, nine hundred sixteen thousand, five hundred seventy-seven".