72307263 has 16 divisors (see below), whose sum is σ = 110304000. Its totient is φ = 41272896.

The previous prime is 72307241. The next prime is 72307297. The reversal of 72307263 is 36270327.

It is not a de Polignac number, because 72307263 - 2⁸ = 72307007 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72307263.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72307223) 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, 30331 + ... + 32627.

It is an arithmetic number, because the mean of its divisors is an integer number (6894000).

Almost surely, 2^72307263 is an apocalyptic number.

72307263 is a deficient number, since it is larger than the sum of its proper divisors (37996737).

72307263 is a wasteful number, since it uses less digits than its factorization.

72307263 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3806.

The product of its (nonzero) digits is 10584, while the sum is 30.

The square root of 72307263 is about 8503.3677446057. The cubic root of 72307263 is about 416.6077143973.

The spelling of 72307263 in words is "seventy-two million, three hundred seven thousand, two hundred sixty-three".