72506863 has 16 divisors (see below), whose sum is σ = 85542912. Its totient is φ = 60588000.

The previous prime is 72506843. The next prime is 72506881. The reversal of 72506863 is 36860527.

It is not a de Polignac number, because 72506863 - 2¹⁷ = 72375791 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72506803) 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, 37818 + ... + 39688.

It is an arithmetic number, because the mean of its divisors is an integer number (5346432).

Almost surely, 2^72506863 is an apocalyptic number.

72506863 is a deficient number, since it is larger than the sum of its proper divisors (13036049).

72506863 is a wasteful number, since it uses less digits than its factorization.

72506863 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2166.

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 72506863 is about 8515.0961826629. The cubic root of 72506863 is about 416.9907026741.

The spelling of 72506863 in words is "seventy-two million, five hundred six thousand, eight hundred sixty-three".