7644672 has 160 divisors (see below), whose sum is σ = 26188800. Its totient is φ = 2156544.

The previous prime is 7644653. The next prime is 7644709. The reversal of 7644672 is 2764467.

7644672 is a `hidden beast` number, since 7 + 644 + 6 + 7 + 2 = 666.

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 an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96729 + ... + 96807.

It is an arithmetic number, because the mean of its divisors is an integer number (163680).

Almost surely, 2^7644672 is an apocalyptic number.

7644672 is a gapful number since it is divisible by the number (72) 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 7644672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13094400).

7644672 is an abundant number, since it is smaller than the sum of its proper divisors (18544128).

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

7644672 is an equidigital number, since it uses as much as digits as its factorization.

7644672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 91 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 7644672 is about 2764.8999981916. The cubic root of 7644672 is about 196.9939788758.

The spelling of 7644672 in words is "seven million, six hundred forty-four thousand, six hundred seventy-two".