7532120 has 16 divisors (see below), whose sum is σ = 16947360. Its totient is φ = 3012832.

The previous prime is 7532089. The next prime is 7532131. The reversal of 7532120 is 212357.

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 = 7532092 and 7532101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 94112 + ... + 94191.

It is an arithmetic number, because the mean of its divisors is an integer number (1059210).

Almost surely, 2^7532120 is an apocalyptic number.

It is an amenable number.

7532120 is an abundant number, since it is smaller than the sum of its proper divisors (9415240).

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

7532120 is a wasteful number, since it uses less digits than its factorization.

7532120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188314 (or 188310 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 7532120 is about 2744.4708050916. The cubic root of 7532120 is about 196.0224186490.

Adding to 7532120 its reverse (212357), we get a palindrome (7744477).

It can be divided in two parts, 7532 and 120, that multiplied together give a triangular number (903840 = T₁₃₄₄).

The spelling of 7532120 in words is "seven million, five hundred thirty-two thousand, one hundred twenty".