72754920 has 96 divisors (see below), whose sum is σ = 270241920. Its totient is φ = 16629120.

The previous prime is 72754889. The next prime is 72754943. The reversal of 72754920 is 2945727.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11916 + ... + 16955.

It is an arithmetic number, because the mean of its divisors is an integer number (2815020).

Almost surely, 2^72754920 is an apocalyptic number.

72754920 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

72754920 is an abundant number, since it is smaller than the sum of its proper divisors (197487000).

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

72754920 is a wasteful number, since it uses less digits than its factorization.

72754920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28895 (or 28888 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 72754920 is about 8529.6494652477. The cubic root of 72754920 is about 417.4656909428.

The spelling of 72754920 in words is "seventy-two million, seven hundred fifty-four thousand, nine hundred twenty".