72188 has 6 divisors (see below), whose sum is σ = 126336. Its totient is φ = 36092.

The previous prime is 72173. The next prime is 72211. The reversal of 72188 is 88127.

It is a super-2 number, since 2×72188² = 10422214688, which contains 22 as substring.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 72188.

It is an unprimeable number.

72188 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 9020 + ... + 9027.

It is an arithmetic number, because the mean of its divisors is an integer number (21056).

2⁷²¹⁸⁸ is an apocalyptic number.

It is an amenable number.

72188 is a deficient number, since it is larger than the sum of its proper divisors (54148).

72188 is a wasteful number, since it uses less digits than its factorization.

72188 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18051 (or 18049 counting only the distinct ones).

The product of its digits is 896, while the sum is 26.

The square root of 72188 is about 268.6782462352. The cubic root of 72188 is about 41.6378538581.

The spelling of 72188 in words is "seventy-two thousand, one hundred eighty-eight".