663075072 has 504 divisors, whose sum is σ = 2412819360. Its totient is φ = 179159040.

The previous prime is 663075071. The next prime is 663075079. The reversal of 663075072 is 270570366.

It is a happy number.

It is a super-2 number, since 2×663075072² = 879337102215610368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (663075071) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 34898679 + ... + 34898697.

It is an arithmetic number, because the mean of its divisors is an integer number (4787340).

Almost surely, 2^663075072 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 663075072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1206409680).

663075072 is an abundant number, since it is smaller than the sum of its proper divisors (1749744288).

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

663075072 is a wasteful number, since it uses less digits than its factorization.

663075072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 663075072 is about 25750.2441153477. The cubic root of 663075072 is about 872.0088656058.

The spelling of 663075072 in words is "six hundred sixty-three million, seventy-five thousand, seventy-two".