72153207 has 32 divisors (see below), whose sum is σ = 122572800. Its totient is φ = 41092704.

The previous prime is 72153199. The next prime is 72153209. The reversal of 72153207 is 70235127.

It is not a de Polignac number, because 72153207 - 2³ = 72153199 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72153209) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90133 + ... + 90929.

It is an arithmetic number, because the mean of its divisors is an integer number (3830400).

Almost surely, 2^72153207 is an apocalyptic number.

72153207 is a deficient number, since it is larger than the sum of its proper divisors (50419593).

72153207 is a wasteful number, since it uses less digits than its factorization.

72153207 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1292 (or 1286 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 72153207 is about 8494.3043858812. The cubic root of 72153207 is about 416.3116327860.

The spelling of 72153207 in words is "seventy-two million, one hundred fifty-three thousand, two hundred seven".