100072275 has 12 divisors (see below), whose sum is σ = 165452952. Its totient is φ = 53371840.

The previous prime is 100072253. The next prime is 100072337. The reversal of 100072275 is 572270001.

It is not a de Polignac number, because 100072275 - 2⁶ = 100072211 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 667074 + ... + 667223.

It is an arithmetic number, because the mean of its divisors is an integer number (13787746).

Almost surely, 2^100072275 is an apocalyptic number.

100072275 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

100072275 is a deficient number, since it is larger than the sum of its proper divisors (65380677).

100072275 is a wasteful number, since it uses less digits than its factorization.

100072275 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1334310 (or 1334305 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 24.

The square root of 100072275 is about 10003.6130972764. The cubic root of 100072275 is about 464.2706800429.

The spelling of 100072275 in words is "one hundred million, seventy-two thousand, two hundred seventy-five".