72010107 has 16 divisors (see below), whose sum is σ = 114888480. Its totient is φ = 44313696.

The previous prime is 72010097. The next prime is 72010111. The reversal of 72010107 is 70101027.

It is not a de Polignac number, because 72010107 - 2⁷ = 72009979 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72010107.

It is not an unprimeable number, because it can be changed into a prime (72010207) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102228 + ... + 102929.

It is an arithmetic number, because the mean of its divisors is an integer number (7180530).

Almost surely, 2^72010107 is an apocalyptic number.

72010107 is a deficient number, since it is larger than the sum of its proper divisors (42878373).

72010107 is a wasteful number, since it uses less digits than its factorization.

72010107 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205179 (or 205173 counting only the distinct ones).

The product of its (nonzero) digits is 98, while the sum is 18.

The square root of 72010107 is about 8485.8769140260. The cubic root of 72010107 is about 416.0362298174.

The spelling of 72010107 in words is "seventy-two million, ten thousand, one hundred seven".