7127120 has 160 divisors (see below), whose sum is σ = 22498560. Its totient is φ = 2027520.

The previous prime is 7127089. The next prime is 7127129. The reversal of 7127120 is 217217.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 7127092 and 7127101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7127129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80036 + ... + 80124.

It is an arithmetic number, because the mean of its divisors is an integer number (140616).

Almost surely, 2^7127120 is an apocalyptic number.

7127120 is a gapful number since it is divisible by the number (70) 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 7127120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11249280).

7127120 is an abundant number, since it is smaller than the sum of its proper divisors (15371440).

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

7127120 is a wasteful number, since it uses less digits than its factorization.

7127120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 20.

The square root of 7127120 is about 2669.6666458567. Note that the first 4 decimals coincide. The cubic root of 7127120 is about 192.4441396360. Note that the first 3 decimals are identical.

Subtracting from 7127120 its reverse (217217), we obtain a triangular number (6909903 = T₃₇₁₇).

The spelling of 7127120 in words is "seven million, one hundred twenty-seven thousand, one hundred twenty".