72684792 has 96 divisors (see below), whose sum is σ = 213436080. Its totient is φ = 22256640.

The previous prime is 72684769. The next prime is 72684793. The reversal of 72684792 is 29748627.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72684793) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51942 + ... + 53322.

Almost surely, 2^72684792 is an apocalyptic number.

72684792 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72684792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106718040).

72684792 is an abundant number, since it is smaller than the sum of its proper divisors (140751288).

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

72684792 is a wasteful number, since it uses less digits than its factorization.

72684792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1453 (or 1446 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 72684792 is about 8525.5376370057. The cubic root of 72684792 is about 417.3315169912.

The spelling of 72684792 in words is "seventy-two million, six hundred eighty-four thousand, seven hundred ninety-two".