27972640 has 24 divisors (see below), whose sum is σ = 66085740. Its totient is φ = 11188992.

The previous prime is 27972583. The next prime is 27972643. The reversal of 27972640 is 4627972.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 27920656 + 51984 = 5284^2 + 228^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 27972640.

It is not an unprimeable number, because it can be changed into a prime (27972643) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 87255 + ... + 87574.

Almost surely, 2^27972640 is an apocalyptic number.

27972640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27972640 is an abundant number, since it is smaller than the sum of its proper divisors (38113100).

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

27972640 is a wasteful number, since it uses less digits than its factorization.

27972640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174844 (or 174836 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 37.

The square root of 27972640 is about 5288.9167132788. The cubic root of 27972640 is about 303.5599589142.

The spelling of 27972640 in words is "twenty-seven million, nine hundred seventy-two thousand, six hundred forty".