72523920 has 160 divisors (see below), whose sum is σ = 262483200. Its totient is φ = 16558080.

The previous prime is 72523909. The next prime is 72523933. The reversal of 72523920 is 2932527.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81880 + ... + 82760.

It is an arithmetic number, because the mean of its divisors is an integer number (1640520).

Almost surely, 2^72523920 is an apocalyptic number.

72523920 is a gapful number since it is divisible by the number (70) 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 72523920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131241600).

72523920 is an abundant number, since it is smaller than the sum of its proper divisors (189959280).

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

72523920 is a wasteful number, since it uses less digits than its factorization.

72523920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 72523920 is about 8516.0976978896. The cubic root of 72523920 is about 417.0233986721.

The spelling of 72523920 in words is "seventy-two million, five hundred twenty-three thousand, nine hundred twenty".