2157672 has 48 divisors (see below), whose sum is σ = 5937120. Its totient is φ = 652960.

The previous prime is 2157671. The next prime is 2157677. The reversal of 2157672 is 2767512.

It is a d-powerful number, because it can be written as 2¹⁸ + 1 + 5⁶ + 7 + 6⁵ + 7⁷ + 2²⁰ .

It is not an unprimeable number, because it can be changed into a prime (2157671) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2533 + ... + 3275.

It is an arithmetic number, because the mean of its divisors is an integer number (123690).

2^2157672 is an apocalyptic number.

2157672 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2157672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2968560).

2157672 is an abundant number, since it is smaller than the sum of its proper divisors (3779448).

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

2157672 is a wasteful number, since it uses less digits than its factorization.

2157672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 759 counting only the distinct ones).

The product of its digits is 5880, while the sum is 30.

The square root of 2157672 is about 1468.9016304709. The cubic root of 2157672 is about 129.2196246713.

It can be divided in two parts, 215 and 7672, that added together give a palindrome (7887).

The spelling of 2157672 in words is "two million, one hundred fifty-seven thousand, six hundred seventy-two".