72353792 has 96 divisors (see below), whose sum is σ = 170352000. Its totient is φ = 30707712.

The previous prime is 72353779. The next prime is 72353803. The reversal of 72353792 is 29735327.

It is a happy number.

It is a nialpdrome in base 14.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 702413 + ... + 702515.

It is an arithmetic number, because the mean of its divisors is an integer number (1774500).

Almost surely, 2^72353792 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 72353792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85176000).

72353792 is an abundant number, since it is smaller than the sum of its proper divisors (97998208).

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

72353792 is an equidigital number, since it uses as much as digits as its factorization.

72353792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 112 counting only the distinct ones).

The product of its digits is 79380, while the sum is 38.

The square root of 72353792 is about 8506.1032206293. The cubic root of 72353792 is about 416.6970562013.

The spelling of 72353792 in words is "seventy-two million, three hundred fifty-three thousand, seven hundred ninety-two".