72353057 has 24 divisors (see below), whose sum is σ = 88646400. Its totient is φ = 58795296.

The previous prime is 72353051. The next prime is 72353063. The reversal of 72353057 is 75035327.

It is an interprime number because it is at equal distance from previous prime (72353051) and next prime (72353063).

It is not a de Polignac number, because 72353057 - 2⁴ = 72353041 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72353051) 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 23 ways as a sum of consecutive naturals, for example, 83408 + ... + 84270.

It is an arithmetic number, because the mean of its divisors is an integer number (3693600).

Almost surely, 2^72353057 is an apocalyptic number.

It is an amenable number.

72353057 is a deficient number, since it is larger than the sum of its proper divisors (16293343).

72353057 is a wasteful number, since it uses less digits than its factorization.

72353057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 22050, while the sum is 32.

The square root of 72353057 is about 8506.0600162472. The cubic root of 72353057 is about 416.6956452023.

The spelling of 72353057 in words is "seventy-two million, three hundred fifty-three thousand, fifty-seven".