2772072 has 24 divisors (see below), whose sum is σ = 7507890. Its totient is φ = 924000.

The previous prime is 2772067. The next prime is 2772079. The reversal of 2772072 is 2702772.

It can be written as a sum of positive squares in only one way, i.e., 2056356 + 715716 = 1434^2 + 846^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (2772079) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 19179 + ... + 19322.

2^2772072 is an apocalyptic number.

It is an amenable number.

2772072 is an abundant number, since it is smaller than the sum of its proper divisors (4735818).

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

2772072 is a wasteful number, since it uses less digits than its factorization.

2772072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38513 (or 38506 counting only the distinct ones).

The product of its (nonzero) digits is 2744, while the sum is 27.

The square root of 2772072 is about 1664.9540534201. The cubic root of 2772072 is about 140.4757961202.

The spelling of 2772072 in words is "two million, seven hundred seventy-two thousand, seventy-two".