72333657 has 24 divisors (see below), whose sum is σ = 120687840. Its totient is φ = 41258880.

The previous prime is 72333641. The next prime is 72333661. The reversal of 72333657 is 75633327.

It is a happy number.

It is not a de Polignac number, because 72333657 - 2⁴ = 72333641 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72333607) 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, 19807 + ... + 23172.

It is an arithmetic number, because the mean of its divisors is an integer number (5028660).

Almost surely, 2^72333657 is an apocalyptic number.

It is an amenable number.

72333657 is a deficient number, since it is larger than the sum of its proper divisors (48354183).

72333657 is a wasteful number, since it uses less digits than its factorization.

72333657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43013 (or 43010 counting only the distinct ones).

The product of its digits is 79380, while the sum is 36.

The square root of 72333657 is about 8504.9195763393. The cubic root of 72333657 is about 416.6583990537.

The spelling of 72333657 in words is "seventy-two million, three hundred thirty-three thousand, six hundred fifty-seven".