8372500 has 60 divisors (see below), whose sum is σ = 19484388. Its totient is φ = 3136000.

The previous prime is 8372491. The next prime is 8372501. The reversal of 8372500 is 52738.

It can be written as a sum of positive squares in 10 ways, for example, as 2669956 + 5702544 = 1634^2 + 2388^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8372501) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 42402 + ... + 42598.

Almost surely, 2^8372500 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 8372500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9742194).

8372500 is an abundant number, since it is smaller than the sum of its proper divisors (11111888).

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

8372500 is a wasteful number, since it uses less digits than its factorization.

8372500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 8372500 is about 2893.5272592461. The cubic root of 8372500 is about 203.0571963044.

The spelling of 8372500 in words is "eight million, three hundred seventy-two thousand, five hundred".