188072 has 8 divisors (see below), whose sum is σ = 352650. Its totient is φ = 94032.

The previous prime is 188029. The next prime is 188107. The reversal of 188072 is 270881.

188072 = T₁₁₃ + T₁₁₄ + ... + T₁₃₆.

It can be written as a sum of positive squares in only one way, i.e., 106276 + 81796 = 326^2 + 286^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11747 + ... + 11762.

2¹⁸⁸⁰⁷² is an apocalyptic number.

It is an amenable number.

188072 is a deficient number, since it is larger than the sum of its proper divisors (164578).

188072 is a wasteful number, since it uses less digits than its factorization.

188072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23515 (or 23511 counting only the distinct ones).

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

The square root of 188072 is about 433.6726876343. The cubic root of 188072 is about 57.2938554021.

The spelling of 188072 in words is "one hundred eighty-eight thousand, seventy-two".