31729072 has 40 divisors (see below), whose sum is σ = 65594016. Its totient is φ = 14816256.

The previous prime is 31729067. The next prime is 31729073. The reversal of 31729072 is 27092713.

It is not an unprimeable number, because it can be changed into a prime (31729073) 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 7 ways as a sum of consecutive naturals, for example, 42333 + ... + 43075.

Almost surely, 2^31729072 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 31729072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32797008).

31729072 is an abundant number, since it is smaller than the sum of its proper divisors (33864944).

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

31729072 is a wasteful number, since it uses less digits than its factorization.

31729072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 31.

The square root of 31729072 is about 5632.8564689685. The cubic root of 31729072 is about 316.5816877547.

The spelling of 31729072 in words is "thirty-one million, seven hundred twenty-nine thousand, seventy-two".