72193814 has 32 divisors (see below), whose sum is σ = 135412992. Its totient is φ = 28044000.

The previous prime is 72193811. The next prime is 72193819. The reversal of 72193814 is 41839127.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72193811) 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, 87524 + ... + 88344.

It is an arithmetic number, because the mean of its divisors is an integer number (4231656).

Almost surely, 2^72193814 is an apocalyptic number.

72193814 is a deficient number, since it is larger than the sum of its proper divisors (63219178).

72193814 is a wasteful number, since it uses less digits than its factorization.

72193814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1412.

The product of its digits is 12096, while the sum is 35.

The square root of 72193814 is about 8496.6942983728. The cubic root of 72193814 is about 416.3897166154.

The spelling of 72193814 in words is "seventy-two million, one hundred ninety-three thousand, eight hundred fourteen".