653072 has 50 divisors (see below), whose sum is σ = 1562958. Its totient is φ = 263424.

The previous prime is 653057. The next prime is 653083. The reversal of 653072 is 270356.

653072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 614656 + 38416 = 784^2 + 196^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 653072.

It is an unprimeable number.

653072 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 9 ways as a sum of consecutive naturals, for example, 38408 + ... + 38424.

2⁶⁵³⁰⁷² 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 653072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781479).

653072 is an abundant number, since it is smaller than the sum of its proper divisors (909886).

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

653072 is an equidigital number, since it uses as much as digits as its factorization.

653072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 23.

The square root of 653072 is about 808.1287026211. The cubic root of 653072 is about 86.7601620864.

The spelling of 653072 in words is "six hundred fifty-three thousand, seventy-two".