72737833 has 16 divisors (see below), whose sum is σ = 87761920. Its totient is φ = 58891536.

The previous prime is 72737827. The next prime is 72737839. The reversal of 72737833 is 33873727.

It is an interprime number because it is at equal distance from previous prime (72737827) and next prime (72737839).

It is a cyclic number.

It is not a de Polignac number, because 72737833 - 2²⁵ = 39183401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72737839) 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, 64210 + ... + 65332.

It is an arithmetic number, because the mean of its divisors is an integer number (5485120).

Almost surely, 2^72737833 is an apocalyptic number.

It is an amenable number.

72737833 is a deficient number, since it is larger than the sum of its proper divisors (15024087).

72737833 is a wasteful number, since it uses less digits than its factorization.

72737833 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1636.

The product of its digits is 148176, while the sum is 40.

The square root of 72737833 is about 8528.6477826206. The cubic root of 72737833 is about 417.4330068084.

The spelling of 72737833 in words is "seventy-two million, seven hundred thirty-seven thousand, eight hundred thirty-three".