2632672 has 72 divisors (see below), whose sum is σ = 6377616. Its totient is φ = 1064448.

The previous prime is 2632657. The next prime is 2632673. The reversal of 2632672 is 2762362.

2632672 = T₃₀₃ + T₃₀₄ + ... + T₃₅₁.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a d-powerful number, because it can be written as 2⁹ + 6³ + 3¹² + 2¹¹ + 6⁴ + 7 + 2²¹ .

It is a self number, because there is not a number n which added to its sum of digits gives 2632672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2632673) 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, 36028 + ... + 36100.

It is an arithmetic number, because the mean of its divisors is an integer number (88578).

2^2632672 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 2632672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3188808).

2632672 is an abundant number, since it is smaller than the sum of its proper divisors (3744944).

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

2632672 is a wasteful number, since it uses less digits than its factorization.

2632672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 105 counting only the distinct ones).

The product of its digits is 6048, while the sum is 28.

The square root of 2632672 is about 1622.5510777784. The cubic root of 2632672 is about 138.0804683674.

The spelling of 2632672 in words is "two million, six hundred thirty-two thousand, six hundred seventy-two".