72332953 has 48 divisors (see below), whose sum is σ = 98058240. Its totient is φ = 52097760.

The previous prime is 72332941. The next prime is 72332957. The reversal of 72332953 is 35923327.

It is a happy number.

It is not a de Polignac number, because 72332953 - 2⁹ = 72332441 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72332957) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 915568 + ... + 915646.

It is an arithmetic number, because the mean of its divisors is an integer number (2042880).

Almost surely, 2^72332953 is an apocalyptic number.

It is an amenable number.

72332953 is a deficient number, since it is larger than the sum of its proper divisors (25725287).

72332953 is a wasteful number, since it uses less digits than its factorization.

72332953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 167 counting only the distinct ones).

The product of its digits is 34020, while the sum is 34.

The square root of 72332953 is about 8504.8781884281. The cubic root of 72332953 is about 416.6570473157.

The spelling of 72332953 in words is "seventy-two million, three hundred thirty-two thousand, nine hundred fifty-three".