27308340072 has 48 divisors (see below), whose sum is σ = 79649327940. Its totient is φ = 8402565888.

The previous prime is 27308340053. The next prime is 27308340077. The reversal of 27308340072 is 27004380372.

27308340072 is a `hidden beast` number, since 2 + 7 + 308 + 340 + 0 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 22895926596 + 4412413476 = 151314^2 + 66426^2 .

It is a super-3 number, since 3×27308340072³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (27308340077) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14586853 + ... + 14588724.

Almost surely, 2^27308340072 is an apocalyptic number.

It is an amenable number.

27308340072 is an abundant number, since it is smaller than the sum of its proper divisors (52340987868).

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

27308340072 is a wasteful number, since it uses less digits than its factorization.

27308340072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29175602 (or 29175595 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 27308340072 in words is "twenty-seven billion, three hundred eight million, three hundred forty thousand, seventy-two".