2727027072 has 384 divisors, whose sum is σ = 9944363520. Its totient is φ = 696729600.

The previous prime is 2727027049. The next prime is 2727027101. The reversal of 2727027072 is 2707207272.

It is a tau number, because it is divible by the number of its divisors (384).

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, 6297768 + ... + 6298200.

It is an arithmetic number, because the mean of its divisors is an integer number (25896780).

Almost surely, 2^2727027072 is an apocalyptic number.

2727027072 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 2727027072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4972181760).

2727027072 is an abundant number, since it is smaller than the sum of its proper divisors (7217336448).

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

2727027072 is a wasteful number, since it uses less digits than its factorization.

2727027072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 527 counting only the distinct ones).

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

The square root of 2727027072 is about 52220.9447635716. The cubic root of 2727027072 is about 1397.1074755221.

The spelling of 2727027072 in words is "two billion, seven hundred twenty-seven million, twenty-seven thousand, seventy-two".