72133674 has 16 divisors (see below), whose sum is σ = 146421408. Its totient is φ = 23685552.

The previous prime is 72133639. The next prime is 72133687. The reversal of 72133674 is 47633127.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89317 + ... + 90120.

It is an arithmetic number, because the mean of its divisors is an integer number (9151338).

Almost surely, 2^72133674 is an apocalyptic number.

72133674 is an abundant number, since it is smaller than the sum of its proper divisors (74287734).

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

72133674 is a wasteful number, since it uses less digits than its factorization.

72133674 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179509.

The product of its digits is 21168, while the sum is 33.

The square root of 72133674 is about 8493.1545376262. The cubic root of 72133674 is about 416.2740620418.

It can be divided in two parts, 7213 and 3674, that multiplied together give a palindrome (26500562).

The spelling of 72133674 in words is "seventy-two million, one hundred thirty-three thousand, six hundred seventy-four".