27725742 has 48 divisors (see below), whose sum is σ = 69396912. Its totient is φ = 7906560.

The previous prime is 27725699. The next prime is 27725773. The reversal of 27725742 is 24752772.

It is a junction number, because it is equal to n+sod(n) for n = 27725697 and 27725706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 753 + ... + 7484.

It is an arithmetic number, because the mean of its divisors is an integer number (1445769).

Almost surely, 2^27725742 is an apocalyptic number.

27725742 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 27725742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34698456).

27725742 is an abundant number, since it is smaller than the sum of its proper divisors (41671170).

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

27725742 is a wasteful number, since it uses less digits than its factorization.

27725742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8273 (or 8270 counting only the distinct ones).

The product of its digits is 54880, while the sum is 36.

The square root of 27725742 is about 5265.5239055577. The cubic root of 27725742 is about 302.6642033627.

The spelling of 27725742 in words is "twenty-seven million, seven hundred twenty-five thousand, seven hundred forty-two".