72083631 has 16 divisors (see below), whose sum is σ = 97779456. Its totient is φ = 47226816.

The previous prime is 72083573. The next prime is 72083651. The reversal of 72083631 is 13638027.

It is not a de Polignac number, because 72083631 - 2⁹ = 72083119 is a prime.

It is a super-2 number, since 2×72083631² = 10392099716288322, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72083651) 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, 96646 + ... + 97388.

It is an arithmetic number, because the mean of its divisors is an integer number (6111216).

Almost surely, 2^72083631 is an apocalyptic number.

72083631 is a deficient number, since it is larger than the sum of its proper divisors (25695825).

72083631 is a wasteful number, since it uses less digits than its factorization.

72083631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1262.

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 72083631 is about 8490.2079479834. The cubic root of 72083631 is about 416.1777758881.

The spelling of 72083631 in words is "seventy-two million, eighty-three thousand, six hundred thirty-one".