72173367 has 24 divisors (see below), whose sum is σ = 119477280. Its totient is φ = 41126400.

The previous prime is 72173359. The next prime is 72173377. The reversal of 72173367 is 76337127.

It is not a de Polignac number, because 72173367 - 2³ = 72173359 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72173327) 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, 24367 + ... + 27167.

It is an arithmetic number, because the mean of its divisors is an integer number (4978220).

Almost surely, 2^72173367 is an apocalyptic number.

72173367 is a deficient number, since it is larger than the sum of its proper divisors (47303913).

72173367 is a wasteful number, since it uses less digits than its factorization.

72173367 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3223 (or 3220 counting only the distinct ones).

The product of its digits is 37044, while the sum is 36.

The square root of 72173367 is about 8495.4909805143. The cubic root of 72173367 is about 416.3504024231.

It can be divided in two parts, 721 and 73367, that added together give a cube (74088 = 42³).

The spelling of 72173367 in words is "seventy-two million, one hundred seventy-three thousand, three hundred sixty-seven".