72133893672 has 48 divisors (see below), whose sum is σ = 191566673760. Its totient is φ = 22630238976.

The previous prime is 72133893659. The next prime is 72133893683. The reversal of 72133893672 is 27639833127.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5193028 + ... + 5206899.

It is an arithmetic number, because the mean of its divisors is an integer number (3990972370).

Almost surely, 2^72133893672 is an apocalyptic number.

It is an amenable number.

72133893672 is an abundant number, since it is smaller than the sum of its proper divisors (119432780088).

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

72133893672 is a wasteful number, since it uses less digits than its factorization.

72133893672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10399970 (or 10399949 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 51.

The spelling of 72133893672 in words is "seventy-two billion, one hundred thirty-three million, eight hundred ninety-three thousand, six hundred seventy-two".