72905730 has 32 divisors (see below), whose sum is σ = 175328064. Its totient is φ = 19402176.

The previous prime is 72905719. The next prime is 72905737. The reversal of 72905730 is 3750927.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 72905691 and 72905700.

It is not an unprimeable number, because it can be changed into a prime (72905737) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14529 + ... + 18891.

It is an arithmetic number, because the mean of its divisors is an integer number (5479002).

Almost surely, 2^72905730 is an apocalyptic number.

72905730 is an abundant number, since it is smaller than the sum of its proper divisors (102422334).

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

72905730 is a wasteful number, since it uses less digits than its factorization.

72905730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4930.

The product of its (nonzero) digits is 13230, while the sum is 33.

The square root of 72905730 is about 8538.4852286574. The cubic root of 72905730 is about 417.7539397195.

The spelling of 72905730 in words is "seventy-two million, nine hundred five thousand, seven hundred thirty".