72867763 has 24 divisors (see below), whose sum is σ = 82664064. Its totient is φ = 63936000.

The previous prime is 72867737. The next prime is 72867787. The reversal of 72867763 is 36776827.

It is not a de Polignac number, because 72867763 - 2¹⁷ = 72736691 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72867713) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 721413 + ... + 721513.

It is an arithmetic number, because the mean of its divisors is an integer number (3444336).

Almost surely, 2^72867763 is an apocalyptic number.

72867763 is a deficient number, since it is larger than the sum of its proper divisors (9796301).

72867763 is a wasteful number, since it uses less digits than its factorization.

72867763 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 186 counting only the distinct ones).

The product of its digits is 592704, while the sum is 46.

The square root of 72867763 is about 8536.2616525034. The cubic root of 72867763 is about 417.6814094446.

The spelling of 72867763 in words is "seventy-two million, eight hundred sixty-seven thousand, seven hundred sixty-three".