27372731140 has 72 divisors (see below), whose sum is σ = 61269673752. Its totient is φ = 10269849600.

The previous prime is 27372731131. The next prime is 27372731147. The reversal of 27372731140 is 4113727372.

It can be written as a sum of positive squares in 4 ways, for example, as 8124498496 + 19248232644 = 90136^2 + 138738^2 .

It is a super-3 number, since 3×27372731140³ (a number of 32 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 27372731140.

It is not an unprimeable number, because it can be changed into a prime (27372731147) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 710452 + ... + 747988.

It is an arithmetic number, because the mean of its divisors is an integer number (850967691).

Almost surely, 2^27372731140 is an apocalyptic number.

27372731140 is a gapful number since it is divisible by the number (20) 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 27372731140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30634836876).

27372731140 is an abundant number, since it is smaller than the sum of its proper divisors (33896942612).

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

27372731140 is a wasteful number, since it uses less digits than its factorization.

27372731140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37685 (or 37664 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 37.

The spelling of 27372731140 in words is "twenty-seven billion, three hundred seventy-two million, seven hundred thirty-one thousand, one hundred forty".