63072 has 48 divisors (see below), whose sum is σ = 186480. Its totient is φ = 20736.

The previous prime is 63067. The next prime is 63073. The reversal of 63072 is 27036.

63072 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an alternating number because its digits alternate between even and odd.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63073) by changing a digit.

63072 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 828 + ... + 900.

It is an arithmetic number, because the mean of its divisors is an integer number (3885).

2⁶³⁰⁷² 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 63072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93240).

63072 is an abundant number, since it is smaller than the sum of its proper divisors (123408).

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

63072 is a wasteful number, since it uses less digits than its factorization.

63072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 63072 is about 251.1413944375. The cubic root of 63072 is about 39.8057246212.

The spelling of 63072 in words is "sixty-three thousand, seventy-two".