27972152 has 32 divisors (see below), whose sum is σ = 57062880. Its totient is φ = 12777600.

The previous prime is 27972107. The next prime is 27972169. The reversal of 27972152 is 25127972.

It is a super-2 number, since 2×27972152² = 1564882575022208, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9173 + ... + 11835.

It is an arithmetic number, because the mean of its divisors is an integer number (1783215).

Almost surely, 2^27972152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27972152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28531440).

27972152 is an abundant number, since it is smaller than the sum of its proper divisors (29090728).

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

27972152 is a wasteful number, since it uses less digits than its factorization.

27972152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2783 (or 2779 counting only the distinct ones).

The product of its digits is 17640, while the sum is 35.

The square root of 27972152 is about 5288.8705788665. The cubic root of 27972152 is about 303.5581936402.

The spelling of 27972152 in words is "twenty-seven million, nine hundred seventy-two thousand, one hundred fifty-two".