72083634 has 16 divisors (see below), whose sum is σ = 164762688. Its totient is φ = 20595312.

The previous prime is 72083573. The next prime is 72083651. The reversal of 72083634 is 43638027.

It is a junction number, because it is equal to n+sod(n) for n = 72083595 and 72083604.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 858097 + ... + 858180.

It is an arithmetic number, because the mean of its divisors is an integer number (10297668).

Almost surely, 2^72083634 is an apocalyptic number.

72083634 is an abundant number, since it is smaller than the sum of its proper divisors (92679054).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72083634 is a wasteful number, since it uses less digits than its factorization.

72083634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1716289.

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 72083634 is about 8490.2081246575. The cubic root of 72083634 is about 416.1777816616.

The spelling of 72083634 in words is "seventy-two million, eighty-three thousand, six hundred thirty-four".