72400263 has 16 divisors (see below), whose sum is σ = 110075616. Its totient is φ = 41932800.

The previous prime is 72400259. The next prime is 72400357. The reversal of 72400263 is 36200427.

It is not a de Polignac number, because 72400263 - 2² = 72400259 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72400213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53938 + ... + 55263.

It is an arithmetic number, because the mean of its divisors is an integer number (6879726).

Almost surely, 2^72400263 is an apocalyptic number.

72400263 is a deficient number, since it is larger than the sum of its proper divisors (37675353).

72400263 is a wasteful number, since it uses less digits than its factorization.

72400263 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109234.

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 72400263 is about 8508.8344090128. The cubic root of 72400263 is about 416.7862484150.

The spelling of 72400263 in words is "seventy-two million, four hundred thousand, two hundred sixty-three".