27972760 has 16 divisors (see below), whose sum is σ = 62938800. Its totient is φ = 11189088.

The previous prime is 27972751. The next prime is 27972767. The reversal of 27972760 is 6727972.

It is a Harshad number since it is a multiple of its sum of digits (40), and also a Moran number because the ratio is a prime number: 699319 = 27972760 / (2 + 7 + 9 + 7 + 2 + 7 + 6 + 0).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27972767) 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, 349620 + ... + 349699.

It is an arithmetic number, because the mean of its divisors is an integer number (3933675).

Almost surely, 2^27972760 is an apocalyptic number.

27972760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27972760 is an abundant number, since it is smaller than the sum of its proper divisors (34966040).

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

27972760 is a wasteful number, since it uses less digits than its factorization.

27972760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699330 (or 699326 counting only the distinct ones).

The product of its (nonzero) digits is 74088, while the sum is 40.

The square root of 27972760 is about 5288.9280577448. The cubic root of 27972760 is about 303.5603929948.

The spelling of 27972760 in words is "twenty-seven million, nine hundred seventy-two thousand, seven hundred sixty".