72540930 has 128 divisors (see below), whose sum is σ = 224280576. Its totient is φ = 14572800.

The previous prime is 72540929. The next prime is 72540947. The reversal of 72540930 is 3904527.

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 63 ways as a sum of consecutive naturals, for example, 71104 + ... + 72116.

It is an arithmetic number, because the mean of its divisors is an integer number (1752192).

Almost surely, 2^72540930 is an apocalyptic number.

72540930 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 72540930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112140288).

72540930 is an abundant number, since it is smaller than the sum of its proper divisors (151739646).

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

72540930 is a wasteful number, since it uses less digits than its factorization.

72540930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072.

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

The square root of 72540930 is about 8517.0963361935. The cubic root of 72540930 is about 417.0559994724.

The spelling of 72540930 in words is "seventy-two million, five hundred forty thousand, nine hundred thirty".