7457625 has 48 divisors (see below), whose sum is σ = 15380352. Its totient is φ = 3405600.

The previous prime is 7457621. The next prime is 7457629. The reversal of 7457625 is 5267547.

7457625 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (7457621) and next prime (7457629).

It is not a de Polignac number, because 7457625 - 2² = 7457621 is a prime.

7457625 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 7457625.

It is not an unprimeable number, because it can be changed into a prime (7457621) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 7402 + ... + 8348.

It is an arithmetic number, because the mean of its divisors is an integer number (320424).

Almost surely, 2^7457625 is an apocalyptic number.

7457625 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

7457625 is an abundant number, since it is smaller than the sum of its proper divisors (7922727).

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

7457625 is a wasteful number, since it uses less digits than its factorization.

7457625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975 (or 962 counting only the distinct ones).

The product of its digits is 58800, while the sum is 36.

The square root of 7457625 is about 2730.8652474994. The cubic root of 7457625 is about 195.3740355438.

The spelling of 7457625 in words is "seven million, four hundred fifty-seven thousand, six hundred twenty-five".