952272 has 60 divisors (see below), whose sum is σ = 2829060. Its totient is φ = 297984.

The previous prime is 952253. The next prime is 952277. The reversal of 952272 is 272259.

It is a happy number.

952272 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 2 ways, for example, as 484416 + 467856 = 696^2 + 684^2 .

Its product of digits (2520) is a multiple of the sum of its prime factors (420).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (952277) by changing a digit.

952272 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 11 ways as a sum of consecutive naturals, for example, 2254 + ... + 2642.

It is an arithmetic number, because the mean of its divisors is an integer number (47151).

2⁹⁵²²⁷² 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 952272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1414530).

952272 is an abundant number, since it is smaller than the sum of its proper divisors (1876788).

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

952272 is a wasteful number, since it uses less digits than its factorization.

952272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 411 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 952272 is about 975.8442498678. The cubic root of 952272 is about 98.3830627203.

It can be divided in two parts, 9522 and 72, that multiplied together give a square (685584 = 828²).

The spelling of 952272 in words is "nine hundred fifty-two thousand, two hundred seventy-two".