72500127 has 8 divisors (see below), whose sum is σ = 110476416. Its totient is φ = 41428632.

The previous prime is 72500111. The next prime is 72500149. The reversal of 72500127 is 72100527.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 72500127 - 2⁴ = 72500111 is a prime.

It is a super-2 number, since 2×72500127² = 10512536830032258, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 72500097 and 72500106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72500167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1726173 + ... + 1726214.

It is an arithmetic number, because the mean of its divisors is an integer number (13809552).

Almost surely, 2^72500127 is an apocalyptic number.

72500127 is a deficient number, since it is larger than the sum of its proper divisors (37976289).

72500127 is a wasteful number, since it uses less digits than its factorization.

72500127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3452397.

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

The square root of 72500127 is about 8514.7006406567. The cubic root of 72500127 is about 416.9777892465.

It can be divided in two parts, 72500 and 127, that added together give a palindrome (72627).

The spelling of 72500127 in words is "seventy-two million, five hundred thousand, one hundred twenty-seven".