31272072 has 64 divisors (see below), whose sum is σ = 85034880. Its totient is φ = 9526272.

The previous prime is 31272041. The next prime is 31272089. The reversal of 31272072 is 27027213.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34813 + ... + 35699.

It is an arithmetic number, because the mean of its divisors is an integer number (1328670).

Almost surely, 2^31272072 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 31272072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42517440).

31272072 is an abundant number, since it is smaller than the sum of its proper divisors (53762808).

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

31272072 is a wasteful number, since it uses less digits than its factorization.

31272072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 31272072 is about 5592.1437749757. The cubic root of 31272072 is about 315.0544022945.

Adding to 31272072 its reverse (27027213), we get a palindrome (58299285).

The spelling of 31272072 in words is "thirty-one million, two hundred seventy-two thousand, seventy-two".