72188142 has 32 divisors (see below), whose sum is σ = 159105408. Its totient is φ = 21694176.

The previous prime is 72188131. The next prime is 72188143. The reversal of 72188142 is 24188127.

It is a happy number.

It is a super-2 number, since 2×72188142² = 10422255690824328, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72188143) 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, 7408 + ... + 14115.

It is an arithmetic number, because the mean of its divisors is an integer number (4972044).

Almost surely, 2^72188142 is an apocalyptic number.

72188142 is an abundant number, since it is smaller than the sum of its proper divisors (86917266).

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

72188142 is a wasteful number, since it uses less digits than its factorization.

72188142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21584.

The product of its digits is 7168, while the sum is 33.

The square root of 72188142 is about 8496.3605149499. The cubic root of 72188142 is about 416.3788115983.

The spelling of 72188142 in words is "seventy-two million, one hundred eighty-eight thousand, one hundred forty-two".