72807753 has 32 divisors (see below), whose sum is σ = 109002240. Its totient is φ = 42958080.

The previous prime is 72807751. The next prime is 72807767. The reversal of 72807753 is 35770827.

It is not a de Polignac number, because 72807753 - 2¹ = 72807751 is a prime.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (72807751) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 219798 + ... + 220128.

It is an arithmetic number, because the mean of its divisors is an integer number (3406320).

Almost surely, 2^72807753 is an apocalyptic number.

It is an amenable number.

72807753 is a deficient number, since it is larger than the sum of its proper divisors (36194487).

72807753 is a wasteful number, since it uses less digits than its factorization.

72807753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597.

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

The square root of 72807753 is about 8532.7459237926. The cubic root of 72807753 is about 417.5667179165.

The spelling of 72807753 in words is "seventy-two million, eight hundred seven thousand, seven hundred fifty-three".