27793272 has 64 divisors (see below), whose sum is σ = 75348000. Its totient is φ = 8492544.

The previous prime is 27793261. The next prime is 27793273. The reversal of 27793272 is 27239772.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 27793272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27793273) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71254 + ... + 71642.

Almost surely, 2^27793272 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 27793272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37674000).

27793272 is an abundant number, since it is smaller than the sum of its proper divisors (47554728).

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

27793272 is a wasteful number, since it uses less digits than its factorization.

27793272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 636 counting only the distinct ones).

The product of its digits is 74088, while the sum is 39.

The square root of 27793272 is about 5271.9324730121. The cubic root of 27793272 is about 302.9097314128.

The spelling of 27793272 in words is "twenty-seven million, seven hundred ninety-three thousand, two hundred seventy-two".