72183821 has 12 divisors (see below), whose sum is σ = 77245536. Its totient is φ = 67325280.

The previous prime is 72183817. The next prime is 72183829. The reversal of 72183821 is 12838127.

It is not a de Polignac number, because 72183821 - 2² = 72183817 is a prime.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72183829) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 37730 + ... + 39596.

It is an arithmetic number, because the mean of its divisors is an integer number (6437128).

Almost surely, 2^72183821 is an apocalyptic number.

It is an amenable number.

72183821 is a deficient number, since it is larger than the sum of its proper divisors (5061715).

72183821 is a wasteful number, since it uses less digits than its factorization.

72183821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1972 (or 1931 counting only the distinct ones).

The product of its digits is 5376, while the sum is 32.

The square root of 72183821 is about 8496.1062257954. The cubic root of 72183821 is about 416.3705036376.

The spelling of 72183821 in words is "seventy-two million, one hundred eighty-three thousand, eight hundred twenty-one".