27225752532 has 192 divisors, whose sum is σ = 72463362048. Its totient is φ = 7884864000.

The previous prime is 27225752527. The next prime is 27225752611. The reversal of 27225752532 is 23525752272.

It is a super-3 number, since 3×27225752532³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Its product of digits (588000) is a multiple of the sum of its prime factors (750).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55904793 + ... + 55905279.

It is an arithmetic number, because the mean of its divisors is an integer number (377413344).

Almost surely, 2^27225752532 is an apocalyptic number.

27225752532 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27225752532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36231681024).

27225752532 is an abundant number, since it is smaller than the sum of its proper divisors (45237609516).

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

27225752532 is a wasteful number, since it uses less digits than its factorization.

27225752532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750 (or 748 counting only the distinct ones).

The product of its digits is 588000, while the sum is 42.

The spelling of 27225752532 in words is "twenty-seven billion, two hundred twenty-five million, seven hundred fifty-two thousand, five hundred thirty-two".