31294272 has 56 divisors (see below), whose sum is σ = 83210400. Its totient is φ = 10379776.

The previous prime is 31294253. The next prime is 31294301. The reversal of 31294272 is 27249213.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74479 + ... + 74897.

It is an arithmetic number, because the mean of its divisors is an integer number (1485900).

Almost surely, 2^31294272 is an apocalyptic number.

31294272 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31294272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41605200).

31294272 is an abundant number, since it is smaller than the sum of its proper divisors (51916128).

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

31294272 is a wasteful number, since it uses less digits than its factorization.

31294272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823 (or 813 counting only the distinct ones).

The product of its digits is 6048, while the sum is 30.

The square root of 31294272 is about 5594.1283503331. The cubic root of 31294272 is about 315.1289368859.

The spelling of 31294272 in words is "thirty-one million, two hundred ninety-four thousand, two hundred seventy-two".