7172640 has 144 divisors (see below), whose sum is σ = 26004888. Its totient is φ = 1794048.

The previous prime is 7172639. The next prime is 7172677. The reversal of 7172640 is 462717.

7172640 is a `hidden beast` number, since 7 + 17 + 2 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7160976 + 11664 = 2676^2 + 108^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24334 + ... + 24626.

Almost surely, 2^7172640 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 7172640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13002444).

7172640 is an abundant number, since it is smaller than the sum of its proper divisors (18832248).

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

7172640 is a wasteful number, since it uses less digits than its factorization.

7172640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 7172640 is about 2678.1784854636. The cubic root of 7172640 is about 192.8529758065.

The spelling of 7172640 in words is "seven million, one hundred seventy-two thousand, six hundred forty".