72349992 has 96 divisors (see below), whose sum is σ = 230237280. Its totient is φ = 20234880.

The previous prime is 72349933. The next prime is 72349993. The reversal of 72349992 is 29994327.

72349992 is a `hidden beast` number, since 72 + 3 + 499 + 92 = 666.

It is not an unprimeable number, because it can be changed into a prime (72349993) 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, 6783 + ... + 13809.

It is an arithmetic number, because the mean of its divisors is an integer number (2398305).

Almost surely, 2^72349992 is an apocalyptic number.

72349992 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 72349992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115118640).

72349992 is an abundant number, since it is smaller than the sum of its proper divisors (157887288).

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

72349992 is a wasteful number, since it uses less digits than its factorization.

72349992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7063 (or 7056 counting only the distinct ones).

The product of its digits is 244944, while the sum is 45.

The square root of 72349992 is about 8505.8798486694. The cubic root of 72349992 is about 416.6897611377.

The spelling of 72349992 in words is "seventy-two million, three hundred forty-nine thousand, nine hundred ninety-two".