7567125 has 32 divisors (see below), whose sum is σ = 13343616. Its totient is φ = 3795200.

The previous prime is 7567123. The next prime is 7567151. The reversal of 7567125 is 5217657.

It is not a de Polignac number, because 7567125 - 2¹ = 7567123 is a prime.

It is a super-2 number, since 2×7567125² = 114522761531250, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

7567125 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7567121) 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, 5782 + ... + 6968.

It is an arithmetic number, because the mean of its divisors is an integer number (416988).

Almost surely, 2^7567125 is an apocalyptic number.

7567125 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

7567125 is a deficient number, since it is larger than the sum of its proper divisors (5776491).

7567125 is a wasteful number, since it uses less digits than its factorization.

7567125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1222 (or 1212 counting only the distinct ones).

The product of its digits is 14700, while the sum is 33.

The square root of 7567125 is about 2750.8407805615. The cubic root of 7567125 is about 196.3256162556.

The spelling of 7567125 in words is "seven million, five hundred sixty-seven thousand, one hundred twenty-five".