63072120 has 128 divisors (see below), whose sum is σ = 197821440. Its totient is φ = 16074240.

The previous prime is 63072101. The next prime is 63072127. The reversal of 63072120 is 2127036.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63072127) 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, 298815 + ... + 299025.

It is an arithmetic number, because the mean of its divisors is an integer number (1545480).

Almost surely, 2^63072120 is an apocalyptic number.

63072120 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 63072120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98910720).

63072120 is an abundant number, since it is smaller than the sum of its proper divisors (134749320).

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

63072120 is a wasteful number, since it uses less digits than its factorization.

63072120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 63072120 is about 7941.7957667016. The cubic root of 63072120 is about 398.0574986581.

Adding to 63072120 its reverse (2127036), we get a palindrome (65199156).

The spelling of 63072120 in words is "sixty-three million, seventy-two thousand, one hundred twenty".