72429392 has 80 divisors (see below), whose sum is σ = 172941312. Its totient is φ = 28702080.

The previous prime is 72429389. The next prime is 72429407. The reversal of 72429392 is 29392427.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 79403 + ... + 80309.

Almost surely, 2^72429392 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 72429392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86470656).

72429392 is an abundant number, since it is smaller than the sum of its proper divisors (100511920).

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

72429392 is a wasteful number, since it uses less digits than its factorization.

72429392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976 (or 970 counting only the distinct ones).

The product of its digits is 54432, while the sum is 38.

The square root of 72429392 is about 8510.5459284349. The cubic root of 72429392 is about 416.8421365122.

The spelling of 72429392 in words is "seventy-two million, four hundred twenty-nine thousand, three hundred ninety-two".