27099072 has 336 divisors, whose sum is σ = 106509312. Its totient is φ = 6359040.

The previous prime is 27099043. The next prime is 27099091.

27099072 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×27099072² = 1468719406522368, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 576553 + ... + 576599.

It is an arithmetic number, because the mean of its divisors is an integer number (316992).

Almost surely, 2^27099072 is an apocalyptic number.

27099072 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 27099072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53254656).

27099072 is an abundant number, since it is smaller than the sum of its proper divisors (79410240).

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

27099072 is a wasteful number, since it uses less digits than its factorization.

27099072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 27099072 is about 5205.6769012300. The cubic root of 27099072 is about 300.3664854458.

It can be divided in two parts, 2709 and 9072, that added together give a triangular number (11781 = T₁₅₃).

The spelling of 27099072 in words is "twenty-seven million, ninety-nine thousand, seventy-two".