27361152 has 320 divisors, whose sum is σ = 103672800. Its totient is φ = 6967296.

The previous prime is 27361141. The next prime is 27361153. The reversal of 27361152 is 25116372.

It is a happy number.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27361153) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 943474 + ... + 943502.

Almost surely, 2^27361152 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 27361152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51836400).

27361152 is an abundant number, since it is smaller than the sum of its proper divisors (76311648).

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

27361152 is a wasteful number, since it uses less digits than its factorization.

27361152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 54 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 27361152 is about 5230.7888506419. The cubic root of 27361152 is about 301.3316800146.

It can be divided in two parts, 273 and 61152, that added together give a triangular number (61425 = T₃₅₀).

The spelling of 27361152 in words is "twenty-seven million, three hundred sixty-one thousand, one hundred fifty-two".