72739392 has 168 divisors, whose sum is σ = 220528896. Its totient is φ = 21120000.

The previous prime is 72739367. The next prime is 72739393. The reversal of 72739392 is 29393727.

It is not an unprimeable number, because it can be changed into a prime (72739393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 720142 + ... + 720242.

It is an arithmetic number, because the mean of its divisors is an integer number (1312672).

Almost surely, 2^72739392 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 72739392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110264448).

72739392 is an abundant number, since it is smaller than the sum of its proper divisors (147789504).

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

72739392 is a wasteful number, since it uses less digits than its factorization.

72739392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 148 counting only the distinct ones).

The product of its digits is 142884, while the sum is 42.

The square root of 72739392 is about 8528.7391799726. The cubic root of 72739392 is about 417.4359890868.

The spelling of 72739392 in words is "seventy-two million, seven hundred thirty-nine thousand, three hundred ninety-two".