7625200 has 60 divisors (see below), whose sum is σ = 19996488. Its totient is φ = 2771200.

The previous prime is 7625171. The next prime is 7625209. The reversal of 7625200 is 25267.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7625209) 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, 3534 + ... + 5266.

Almost surely, 2^7625200 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 7625200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9998244).

7625200 is an abundant number, since it is smaller than the sum of its proper divisors (12371288).

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

7625200 is a wasteful number, since it uses less digits than its factorization.

7625200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1762 (or 1751 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 7625200 is about 2761.3764683578. The cubic root of 7625200 is about 196.8265800131.

The spelling of 7625200 in words is "seven million, six hundred twenty-five thousand, two hundred".