2692872 has 128 divisors (see below), whose sum is σ = 9273600. Its totient is φ = 705024.

The previous prime is 2692871. The next prime is 2692891. The reversal of 2692872 is 2782962.

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

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 2¹⁴ + 6⁷ + 9² + 2¹⁹ + 8² + 7⁷ + 2²⁰ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2692871) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19588 + ... + 19724.

It is an arithmetic number, because the mean of its divisors is an integer number (72450).

2^2692872 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 2692872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4636800).

2692872 is an abundant number, since it is smaller than the sum of its proper divisors (6580728).

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

2692872 is a wasteful number, since it uses less digits than its factorization.

2692872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 162 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 2692872 is about 1640.9972577674. The cubic root of 2692872 is about 139.1250190713.

It can be divided in two parts, 26928 and 72, that added together give a cube (27000 = 30³).

The spelling of 2692872 in words is "two million, six hundred ninety-two thousand, eight hundred seventy-two".