31990752 has 72 divisors (see below), whose sum is σ = 91872144. Its totient is φ = 10558464.

The previous prime is 31990727. The next prime is 31990757. The reversal of 31990752 is 25709913.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31990757) 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 11 ways as a sum of consecutive naturals, for example, 32053 + ... + 33035.

It is an arithmetic number, because the mean of its divisors is an integer number (1276002).

Almost surely, 2^31990752 is an apocalyptic number.

31990752 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 31990752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45936072).

31990752 is an abundant number, since it is smaller than the sum of its proper divisors (59881392).

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

31990752 is a wasteful number, since it uses less digits than its factorization.

31990752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 31990752 is about 5656.0367749865. The cubic root of 31990752 is about 317.4496235200.

The spelling of 31990752 in words is "thirty-one million, nine hundred ninety thousand, seven hundred fifty-two".