902272 has 64 divisors (see below), whose sum is σ = 2203200. Its totient is φ = 359424.

The previous prime is 902263. The next prime is 902281. The reversal of 902272 is 272209.

It is an interprime number because it is at equal distance from previous prime (902263) and next prime (902281).

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

902272 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16998 + ... + 17050.

It is an arithmetic number, because the mean of its divisors is an integer number (34425).

2⁹⁰²²⁷² 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 902272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1101600).

902272 is an abundant number, since it is smaller than the sum of its proper divisors (1300928).

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

902272 is a wasteful number, since it uses less digits than its factorization.

902272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 902272 is about 949.8799924201. The cubic root of 902272 is about 96.6301143346.

It can be divided in two parts, 90 and 2272, that multiplied together give a triangular number (204480 = T₆₃₉).

The spelling of 902272 in words is "nine hundred two thousand, two hundred seventy-two".