2672672 has 30 divisors (see below), whose sum is σ = 5590683. Its totient is φ = 1257728.

The previous prime is 2672671. The next prime is 2672687. The reversal of 2672672 is 2762762.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 2572816 + 99856 = 1604^2 + 316^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=1156.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2672671) by changing a digit.

It is a polite number, since it can be written in 4 ways as a sum of consecutive naturals, for example, 157208 + ... + 157224.

2^2672672 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 2672672

2672672 is an abundant number, since it is smaller than the sum of its proper divisors (2918011).

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

2672672 is an frugal number, since it uses more digits than its factorization.

2672672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 19 counting only the distinct ones).

The product of its digits is 14112, while the sum is 32.

The square root of 2672672 is about 1634.8308781033. The cubic root of 2672672 is about 138.7762734652.

Multiplying 2672672 by its sum of digits (32), we get a square (85525504 = 9248²).

2672672 divided by its sum of digits (32) gives a 4-th power (83521 = 17⁴).

Multiplying 2672672 by its product of digits (14112), we get a square (37716747264 = 194208²).

The spelling of 2672672 in words is "two million, six hundred seventy-two thousand, six hundred seventy-two".