7125120 has 96 divisors (see below), whose sum is σ = 24623820. Its totient is φ = 1898496.

The previous prime is 7125113. The next prime is 7125121. The reversal of 7125120 is 215217.

It can be written as a sum of positive squares in 2 ways, for example, as 7096896 + 28224 = 2664^2 + 168^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 7125093 and 7125102.

It is not an unprimeable number, because it can be changed into a prime (7125121) 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, 5142 + ... + 6378.

Almost surely, 2^7125120 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 7125120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12311910).

7125120 is an abundant number, since it is smaller than the sum of its proper divisors (17498700).

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

7125120 is a wasteful number, since it uses less digits than its factorization.

7125120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1262 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 7125120 is about 2669.2920409727. The cubic root of 7125120 is about 192.4261368388.

Subtracting from 7125120 its reverse (215217), we obtain a triangular number (6909903 = T₃₇₁₇).

It can be divided in two parts, 712 and 5120, that added together give a cube (5832 = 18³).

The spelling of 7125120 in words is "seven million, one hundred twenty-five thousand, one hundred twenty".