72133686 has 32 divisors (see below), whose sum is σ = 169728480. Its totient is φ = 22629888.

The previous prime is 72133639. The next prime is 72133687. The reversal of 72133686 is 68633127.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 72133686.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72133687) 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, 38371 + ... + 40206.

It is an arithmetic number, because the mean of its divisors is an integer number (5304015).

Almost surely, 2^72133686 is an apocalyptic number.

72133686 is an abundant number, since it is smaller than the sum of its proper divisors (97594794).

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

72133686 is a wasteful number, since it uses less digits than its factorization.

72133686 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78605 (or 78599 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 72133686 is about 8493.1552440774. The cubic root of 72133686 is about 416.2740851253.

The spelling of 72133686 in words is "seventy-two million, one hundred thirty-three thousand, six hundred eighty-six".