72354821 has 32 divisors (see below), whose sum is σ = 93388800. Its totient is φ = 55566000.

The previous prime is 72354809. The next prime is 72354823. The reversal of 72354821 is 12845327.

It is not a de Polignac number, because 72354821 - 2¹⁴ = 72338437 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72354823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 479096 + ... + 479246.

It is an arithmetic number, because the mean of its divisors is an integer number (2918400).

Almost surely, 2^72354821 is an apocalyptic number.

It is an amenable number.

72354821 is a deficient number, since it is larger than the sum of its proper divisors (21033979).

72354821 is a wasteful number, since it uses less digits than its factorization.

72354821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 296 counting only the distinct ones).

The product of its digits is 13440, while the sum is 32.

The square root of 72354821 is about 8506.1637063955. The cubic root of 72354821 is about 416.6990315837.

The spelling of 72354821 in words is "seventy-two million, three hundred fifty-four thousand, eight hundred twenty-one".