72193992 has 128 divisors (see below), whose sum is σ = 205632000. Its totient is φ = 20966400.

The previous prime is 72193973. The next prime is 72194027. The reversal of 72193992 is 29939127.

It is a happy number.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 714742 + ... + 714842.

It is an arithmetic number, because the mean of its divisors is an integer number (1606500).

Almost surely, 2^72193992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72193992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102816000).

72193992 is an abundant number, since it is smaller than the sum of its proper divisors (133438008).

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

72193992 is a wasteful number, since it uses less digits than its factorization.

72193992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 227 counting only the distinct ones).

The product of its digits is 61236, while the sum is 42.

The square root of 72193992 is about 8496.7047730282. The cubic root of 72193992 is about 416.3900588299.

It can be divided in two parts, 7219 and 3992, that added together give a palindrome (11211).

The spelling of 72193992 in words is "seventy-two million, one hundred ninety-three thousand, nine hundred ninety-two".