2792272 has 40 divisors (see below), whose sum is σ = 6267456. Its totient is φ = 1180416.

The previous prime is 2792261. The next prime is 2792281. The reversal of 2792272 is 2722972.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11868 + ... + 12100.

2^2792272 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 2792272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3133728).

2792272 is an abundant number, since it is smaller than the sum of its proper divisors (3475184).

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

2792272 is a wasteful number, since it uses less digits than its factorization.

2792272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 349 counting only the distinct ones).

The product of its digits is 7056, while the sum is 31.

The square root of 2792272 is about 1671.0092758570. The cubic root of 2792272 is about 140.8161848647.

Subtracting from 2792272 its sum of digits (31), we obtain a square (2792241 = 1671²).

The spelling of 2792272 in words is "two million, seven hundred ninety-two thousand, two hundred seventy-two".