72745761 has 16 divisors (see below), whose sum is σ = 107608320. Its totient is φ = 43339920.

The previous prime is 72745721. The next prime is 72745781. The reversal of 72745761 is 16754727.

It is not a de Polignac number, because 72745761 - 2⁹ = 72745249 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (72745721) 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, 16735 + ... + 20628.

It is an arithmetic number, because the mean of its divisors is an integer number (6725520).

Almost surely, 2^72745761 is an apocalyptic number.

It is an amenable number.

72745761 is a deficient number, since it is larger than the sum of its proper divisors (34862559).

72745761 is a wasteful number, since it uses less digits than its factorization.

72745761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37436.

The product of its digits is 82320, while the sum is 39.

The square root of 72745761 is about 8529.1125564152. The cubic root of 72745761 is about 417.4481721793.

The spelling of 72745761 in words is "seventy-two million, seven hundred forty-five thousand, seven hundred sixty-one".