72733941 has 24 divisors (see below), whose sum is σ = 122865600. Its totient is φ = 40594176.

The previous prime is 72733933. The next prime is 72733949. The reversal of 72733941 is 14933727.

It is an interprime number because it is at equal distance from previous prime (72733933) and next prime (72733949).

It is not a de Polignac number, because 72733941 - 2³ = 72733933 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72733896 and 72733905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72733949) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10716 + ... + 16133.

It is an arithmetic number, because the mean of its divisors is an integer number (5119400).

Almost surely, 2^72733941 is an apocalyptic number.

It is an amenable number.

72733941 is a deficient number, since it is larger than the sum of its proper divisors (50131659).

72733941 is a wasteful number, since it uses less digits than its factorization.

72733941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26905 (or 26902 counting only the distinct ones).

The product of its digits is 31752, while the sum is 36.

The square root of 72733941 is about 8528.4196074068. The cubic root of 72733941 is about 417.4255614475.

The spelling of 72733941 in words is "seventy-two million, seven hundred thirty-three thousand, nine hundred forty-one".