27872740 has 48 divisors (see below), whose sum is σ = 67237632. Its totient is φ = 9507456.

The previous prime is 27872731. The next prime is 27872759. The reversal of 27872740 is 4727872.

It is a self number, because there is not a number n which added to its sum of digits gives 27872740.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36442 + ... + 37198.

It is an arithmetic number, because the mean of its divisors is an integer number (1400784).

Almost surely, 2^27872740 is an apocalyptic number.

27872740 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 27872740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33618816).

27872740 is an abundant number, since it is smaller than the sum of its proper divisors (39364892).

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

27872740 is a wasteful number, since it uses less digits than its factorization.

27872740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 43904, while the sum is 37.

The square root of 27872740 is about 5279.4639879442. The cubic root of 27872740 is about 303.1981552276.

The spelling of 27872740 in words is "twenty-seven million, eight hundred seventy-two thousand, seven hundred forty".