2727972 has 96 divisors (see below), whose sum is σ = 7996800. Its totient is φ = 798336.

The previous prime is 2727971. The next prime is 2727979. The reversal of 2727972 is 2797272.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2727971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40683 + ... + 40749.

It is an arithmetic number, because the mean of its divisors is an integer number (83300).

2^2727972 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2727972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3998400).

2727972 is an abundant number, since it is smaller than the sum of its proper divisors (5268828).

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

2727972 is a wasteful number, since it uses less digits than its factorization.

2727972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 114 counting only the distinct ones).

The product of its digits is 24696, while the sum is 36.

The square root of 2727972 is about 1651.6573494524. The cubic root of 2727972 is about 139.7268825041.

The spelling of 2727972 in words is "two million, seven hundred twenty-seven thousand, nine hundred seventy-two".