72133775 has 12 divisors (see below), whose sum is σ = 102224112. Its totient is φ = 49463040.

The previous prime is 72133753. The next prime is 72133793. The reversal of 72133775 is 57733127.

It is not a de Polignac number, because 72133775 - 2¹⁶ = 72068239 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a Duffinian number.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 205922 + ... + 206271.

It is an arithmetic number, because the mean of its divisors is an integer number (8518676).

Almost surely, 2^72133775 is an apocalyptic number.

72133775 is a deficient number, since it is larger than the sum of its proper divisors (30090337).

72133775 is a wasteful number, since it uses less digits than its factorization.

72133775 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412210 (or 412205 counting only the distinct ones).

The product of its digits is 30870, while the sum is 35.

The square root of 72133775 is about 8493.1604835891. The cubic root of 72133775 is about 416.2742563277.

The spelling of 72133775 in words is "seventy-two million, one hundred thirty-three thousand, seven hundred seventy-five".