31296672 has 192 divisors, whose sum is σ = 103420800. Its totient is φ = 9123840.

The previous prime is 31296649. The next prime is 31296679. The reversal of 31296672 is 27669213.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (31296679) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 351604 + ... + 351692.

It is an arithmetic number, because the mean of its divisors is an integer number (538650).

Almost surely, 2^31296672 is an apocalyptic number.

31296672 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 31296672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51710400).

31296672 is an abundant number, since it is smaller than the sum of its proper divisors (72124128).

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

31296672 is a wasteful number, since it uses less digits than its factorization.

31296672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 142 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 31296672 is about 5594.3428568510. The cubic root of 31296672 is about 315.1369925679.

It can be divided in two parts, 3129 and 6672, that added together give a square (9801 = 99²).

The spelling of 31296672 in words is "thirty-one million, two hundred ninety-six thousand, six hundred seventy-two".