2892672 has 112 divisors (see below), whose sum is σ = 8918880. Its totient is φ = 933120.

The previous prime is 2892671. The next prime is 2892683. The reversal of 2892672 is 2762982.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

Its product of digits (24192) is a multiple of the sum of its prime divisors (36).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2892671) 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 13 ways as a sum of consecutive naturals, for example, 93297 + ... + 93327.

2^2892672 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 2892672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4459440).

2892672 is an abundant number, since it is smaller than the sum of its proper divisors (6026208).

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

2892672 is an frugal number, since it uses more digits than its factorization.

2892672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 36 counting only the distinct ones).

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

The square root of 2892672 is about 1700.7857007866. The cubic root of 2892672 is about 142.4840979485.

The spelling of 2892672 in words is "two million, eight hundred ninety-two thousand, six hundred seventy-two".