27072072720 has 1200 divisors, whose sum is σ = 124876971648. Its totient is φ = 5364817920.

The previous prime is 27072072691. The next prime is 27072072749. The reversal of 27072072720 is 2727027072.

It is an interprime number because it is at equal distance from previous prime (27072072691) and next prime (27072072749).

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 80332392 + ... + 80332728.

Almost surely, 2^27072072720 is an apocalyptic number.

27072072720 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 27072072720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62438485824).

27072072720 is an abundant number, since it is smaller than the sum of its proper divisors (97804898928).

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

27072072720 is a wasteful number, since it uses less digits than its factorization.

27072072720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 38416, while the sum is 36.

Adding to 27072072720 its reverse (2727027072), we get a palindrome (29799099792).

The spelling of 27072072720 in words is "twenty-seven billion, seventy-two million, seventy-two thousand, seven hundred twenty".