31272192 has 162 divisors, whose sum is σ = 105264978. Its totient is φ = 8902656.

The previous prime is 31272191. The next prime is 31272193. The reversal of 31272192 is 29127213.

It is an interprime number because it is at equal distance from previous prime (31272191) and next prime (31272193).

It can be written as a sum of positive squares in only one way, i.e., 22127616 + 9144576 = 4704^2 + 3024^2 .

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31272191) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 112758 + ... + 113034.

Almost surely, 2^31272192 is an apocalyptic number.

31272192 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 31272192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52632489).

31272192 is an abundant number, since it is smaller than the sum of its proper divisors (73992786).

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

31272192 is a wasteful number, since it uses less digits than its factorization.

31272192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 289 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 31272192 is about 5592.1545043033. The cubic root of 31272192 is about 315.0548052790.

The spelling of 31272192 in words is "thirty-one million, two hundred seventy-two thousand, one hundred ninety-two".