7725120 has 112 divisors (see below), whose sum is σ = 26456640. Its totient is φ = 1898496.

The previous prime is 7725073. The next prime is 7725127. The reversal of 7725120 is 215277.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (7725127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12171 + ... + 12789.

It is an arithmetic number, because the mean of its divisors is an integer number (236220).

Almost surely, 2^7725120 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 7725120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13228320).

7725120 is an abundant number, since it is smaller than the sum of its proper divisors (18731520).

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

7725120 is a wasteful number, since it uses less digits than its factorization.

7725120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 24.

The square root of 7725120 is about 2779.4100093365. The cubic root of 7725120 is about 197.6825849838.

The spelling of 7725120 in words is "seven million, seven hundred twenty-five thousand, one hundred twenty".