72963593 has 12 divisors (see below), whose sum is σ = 75640320. Its totient is φ = 70377552.

The previous prime is 72963587. The next prime is 72963601. The reversal of 72963593 is 39536927.

It is not a de Polignac number, because 72963593 - 2⁴ = 72963577 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (72963523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 305168 + ... + 305406.

It is an arithmetic number, because the mean of its divisors is an integer number (6303360).

Almost surely, 2^72963593 is an apocalyptic number.

It is an amenable number.

72963593 is a deficient number, since it is larger than the sum of its proper divisors (2676727).

72963593 is a wasteful number, since it uses less digits than its factorization.

72963593 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 499 counting only the distinct ones).

The product of its digits is 306180, while the sum is 44.

The square root of 72963593 is about 8541.8729210870. The cubic root of 72963593 is about 417.8644299102.

The spelling of 72963593 in words is "seventy-two million, nine hundred sixty-three thousand, five hundred ninety-three".