71633172 has 48 divisors (see below), whose sum is σ = 190596672. Its totient is φ = 20743680.

The previous prime is 71633167. The next prime is 71633179. The reversal of 71633172 is 27133617.

It is a super-2 number, since 2×71633172² = 10262622661563168, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71633179) 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, 10854 + ... + 16157.

It is an arithmetic number, because the mean of its divisors is an integer number (3970764).

Almost surely, 2^71633172 is an apocalyptic number.

It is an amenable number.

71633172 is an abundant number, since it is smaller than the sum of its proper divisors (118963500).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

71633172 is a wasteful number, since it uses less digits than its factorization.

71633172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27048 (or 27046 counting only the distinct ones).

The product of its digits is 5292, while the sum is 30.

The square root of 71633172 is about 8463.6382247825. The cubic root of 71633172 is about 415.3090493225.

Adding to 71633172 its reverse (27133617), we get a palindrome (98766789).

The spelling of 71633172 in words is "seventy-one million, six hundred thirty-three thousand, one hundred seventy-two".