72937305 has 24 divisors (see below), whose sum is σ = 144485952. Its totient is φ = 33342624.

The previous prime is 72937283. The next prime is 72937313. The reversal of 72937305 is 50373927.

It is a happy number.

It is not a de Polignac number, because 72937305 - 2¹¹ = 72935257 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72937305.

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, 115459 + ... + 116088.

It is an arithmetic number, because the mean of its divisors is an integer number (6020248).

Almost surely, 2^72937305 is an apocalyptic number.

It is an amenable number.

72937305 is a deficient number, since it is larger than the sum of its proper divisors (71548647).

72937305 is a wasteful number, since it uses less digits than its factorization.

72937305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231565 (or 231562 counting only the distinct ones).

The product of its (nonzero) digits is 39690, while the sum is 36.

The square root of 72937305 is about 8540.3340098617. The cubic root of 72937305 is about 417.8142398580.

The spelling of 72937305 in words is "seventy-two million, nine hundred thirty-seven thousand, three hundred five".