72929892 has 96 divisors (see below), whose sum is σ = 202875904. Its totient is φ = 19958400.

The previous prime is 72929863. The next prime is 72929903. The reversal of 72929892 is 29892927.

It is a happy number.

It is an alternating number because its digits alternate between odd and even.

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 31 ways as a sum of consecutive naturals, for example, 220167 + ... + 220497.

Almost surely, 2^72929892 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 72929892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101437952).

72929892 is an abundant number, since it is smaller than the sum of its proper divisors (129946012).

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

72929892 is a wasteful number, since it uses less digits than its factorization.

72929892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 447 counting only the distinct ones).

The product of its digits is 326592, while the sum is 48.

The square root of 72929892 is about 8539.8999994145. The cubic root of 72929892 is about 417.8000844959.

The spelling of 72929892 in words is "seventy-two million, nine hundred twenty-nine thousand, eight hundred ninety-two".