27900972 has 36 divisors (see below), whose sum is σ = 76940136. Its totient is φ = 8454720.

The previous prime is 27900967. The next prime is 27900979.

27900972 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (27900979) 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 11 ways as a sum of consecutive naturals, for example, 34833 + ... + 35624.

It is an arithmetic number, because the mean of its divisors is an integer number (2137226).

Almost surely, 2^27900972 is an apocalyptic number.

27900972 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

27900972 is an abundant number, since it is smaller than the sum of its proper divisors (49039164).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

27900972 is a wasteful number, since it uses less digits than its factorization.

27900972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70478 (or 70473 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 27900972 is about 5282.1370675135. The cubic root of 27900972 is about 303.3004894064.

The spelling of 27900972 in words is "twenty-seven million, nine hundred thousand, nine hundred seventy-two".