72733881 has 32 divisors (see below), whose sum is σ = 112020480. Its totient is φ = 41515200.

The previous prime is 72733879. The next prime is 72733883. The reversal of 72733881 is 18833727.

It is an interprime number because it is at equal distance from previous prime (72733879) and next prime (72733883).

It is not a de Polignac number, because 72733881 - 2¹ = 72733879 is a prime.

It is a super-2 number, since 2×72733881² = 10580434890644322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72733883) 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, 194811 + ... + 195183.

It is an arithmetic number, because the mean of its divisors is an integer number (3500640).

Almost surely, 2^72733881 is an apocalyptic number.

It is an amenable number.

72733881 is a deficient number, since it is larger than the sum of its proper divisors (39286599).

72733881 is a wasteful number, since it uses less digits than its factorization.

72733881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717.

The product of its digits is 56448, while the sum is 39.

The square root of 72733881 is about 8528.4160897555. The cubic root of 72733881 is about 417.4254466660.

The spelling of 72733881 in words is "seventy-two million, seven hundred thirty-three thousand, eight hundred eighty-one".