7972500 has 60 divisors (see below), whose sum is σ = 23267552. Its totient is φ = 2124000.

The previous prime is 7972499. The next prime is 7972511. The reversal of 7972500 is 52797.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6969 + ... + 8031.

Almost surely, 2^7972500 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 7972500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11633776).

7972500 is an abundant number, since it is smaller than the sum of its proper divisors (15295052).

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

7972500 is a wasteful number, since it uses less digits than its factorization.

7972500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1090 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 30.

The square root of 7972500 is about 2823.5615806991. The cubic root of 7972500 is about 199.7705702439.

The spelling of 7972500 in words is "seven million, nine hundred seventy-two thousand, five hundred".