72297792 has 224 divisors, whose sum is σ = 250342400. Its totient is φ = 20030976.

The previous prime is 72297781. The next prime is 72297811. The reversal of 72297792 is 29779227.

It is a tau number, because it is divible by the number of its divisors (224).

It is a nude number because it is divisible by every one of its digits.

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 31 ways as a sum of consecutive naturals, for example, 520059 + ... + 520197.

It is an arithmetic number, because the mean of its divisors is an integer number (1117600).

Almost surely, 2^72297792 is an apocalyptic number.

72297792 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 72297792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125171200).

72297792 is an abundant number, since it is smaller than the sum of its proper divisors (178044608).

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

72297792 is a wasteful number, since it uses less digits than its factorization.

72297792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 194 counting only the distinct ones).

The product of its digits is 222264, while the sum is 45.

The square root of 72297792 is about 8502.8108293670. The cubic root of 72297792 is about 416.5895241363.

The spelling of 72297792 in words is "seventy-two million, two hundred ninety-seven thousand, seven hundred ninety-two".