31047072 has 96 divisors (see below), whose sum is σ = 95219712. Its totient is φ = 8673024.

The previous prime is 31047067. The next prime is 31047101. The reversal of 31047072 is 27074013.

It is a tau number, because it is divible by the number of its divisors (96).

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, 31093 + ... + 32075.

It is an arithmetic number, because the mean of its divisors is an integer number (991872).

Almost surely, 2^31047072 is an apocalyptic number.

31047072 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 31047072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47609856).

31047072 is an abundant number, since it is smaller than the sum of its proper divisors (64172640).

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

31047072 is a wasteful number, since it uses less digits than its factorization.

31047072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1050 (or 1042 counting only the distinct ones).

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

The square root of 31047072 is about 5571.9899497397. The cubic root of 31047072 is about 314.2969859791.

The spelling of 31047072 in words is "thirty-one million, forty-seven thousand, seventy-two".