65625120 has 192 divisors, whose sum is σ = 250750080. Its totient is φ = 15897600.

The previous prime is 65625103. The next prime is 65625127. The reversal of 65625120 is 2152656.

65625120 is a `hidden beast` number, since 656 + 2 + 5 + 1 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65625127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46830 + ... + 48210.

It is an arithmetic number, because the mean of its divisors is an integer number (1305990).

Almost surely, 2^65625120 is an apocalyptic number.

65625120 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65625120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125375040).

65625120 is an abundant number, since it is smaller than the sum of its proper divisors (185124960).

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

65625120 is a wasteful number, since it uses less digits than its factorization.

65625120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1416 (or 1402 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 65625120 is about 8100.9332795672. The cubic root of 65625120 is about 403.3574073618.

Adding to 65625120 its reverse (2152656), we get a palindrome (67777776).

The spelling of 65625120 in words is "sixty-five million, six hundred twenty-five thousand, one hundred twenty".