65972500 has 60 divisors (see below), whose sum is σ = 157449600. Its totient is φ = 23980000.

The previous prime is 65972497. The next prime is 65972521. The reversal of 65972500 is 527956.

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, 26301 + ... + 28699.

It is an arithmetic number, because the mean of its divisors is an integer number (2624160).

Almost surely, 2^65972500 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 65972500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78724800).

65972500 is an abundant number, since it is smaller than the sum of its proper divisors (91477100).

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

65972500 is a wasteful number, since it uses less digits than its factorization.

65972500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2434 (or 2417 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 34.

The square root of 65972500 is about 8122.3457202953. The cubic root of 65972500 is about 404.0678659312.

The spelling of 65972500 in words is "sixty-five million, nine hundred seventy-two thousand, five hundred".