63072720 has 120 divisors (see below), whose sum is σ = 224322696. Its totient is φ = 15826944.

The previous prime is 63072707. The next prime is 63072721. The reversal of 63072720 is 2727036.

63072720 is a `hidden beast` number, since 630 + 7 + 2 + 7 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16451136 + 46621584 = 4056^2 + 6828^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63072721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9664 + ... + 14816.

Almost surely, 2^63072720 is an apocalyptic number.

63072720 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 63072720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112161348).

63072720 is an abundant number, since it is smaller than the sum of its proper divisors (161249976).

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

63072720 is a wasteful number, since it uses less digits than its factorization.

63072720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5189 (or 5180 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 63072720 is about 7941.8335414437. The cubic root of 63072720 is about 398.0587608838.

Adding to 63072720 its reverse (2727036), we get a palindrome (65799756).

The spelling of 63072720 in words is "sixty-three million, seventy-two thousand, seven hundred twenty".