72743765 has 16 divisors (see below), whose sum is σ = 92849328. Its totient is φ = 54521856.

The previous prime is 72743743. The next prime is 72743767. The reversal of 72743765 is 56734727.

It can be written as a sum of positive squares in 8 ways, for example, as 8375236 + 64368529 = 2894^2 + 8023^2 .

It is not a de Polignac number, because 72743765 - 2¹⁰ = 72742741 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72743767) 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, 17969 + ... + 21641.

It is an arithmetic number, because the mean of its divisors is an integer number (5803083).

Almost surely, 2^72743765 is an apocalyptic number.

It is an amenable number.

72743765 is a deficient number, since it is larger than the sum of its proper divisors (20105563).

72743765 is a wasteful number, since it uses less digits than its factorization.

72743765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3928.

The product of its digits is 246960, while the sum is 41.

The square root of 72743765 is about 8528.9955446113. The cubic root of 72743765 is about 417.4443541599. Note that the first 3 decimals are identical.

The spelling of 72743765 in words is "seventy-two million, seven hundred forty-three thousand, seven hundred sixty-five".