610272 has 72 divisors (see below), whose sum is σ = 1880424. Its totient is φ = 186624.

The previous prime is 610271. The next prime is 610279. The reversal of 610272 is 272016.

It is a happy number.

610272 is digitally balanced in base 2, because in such base 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 (72).

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 610272.

It is not an unprimeable number, because it can be changed into a prime (610271) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3663 + ... + 3825.

It is an arithmetic number, because the mean of its divisors is an integer number (26117).

2⁶¹⁰²⁷² 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 610272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (940212).

610272 is an abundant number, since it is smaller than the sum of its proper divisors (1270152).

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

610272 is a wasteful number, since it uses less digits than its factorization.

610272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 610272 is about 781.1990783405. The cubic root of 610272 is about 84.8218645412.

Adding to 610272 its reverse (272016), we get a palindrome (882288).

The spelling of 610272 in words is "six hundred ten thousand, two hundred seventy-two".