31714547072 has 128 divisors (see below), whose sum is σ = 72325344000. Its totient is φ = 13731047424.

The previous prime is 31714547057. The next prime is 31714547087. The reversal of 31714547072 is 27074541713.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (31714547057) and next prime (31714547087).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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, 3251579 + ... + 3261317.

It is an arithmetic number, because the mean of its divisors is an integer number (565041750).

Almost surely, 2^31714547072 is an apocalyptic number.

31714547072 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 31714547072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36162672000).

31714547072 is an abundant number, since it is smaller than the sum of its proper divisors (40610796928).

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

31714547072 is a wasteful number, since it uses less digits than its factorization.

31714547072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9888 (or 9876 counting only the distinct ones).

The product of its (nonzero) digits is 164640, while the sum is 41.

The spelling of 31714547072 in words is "thirty-one billion, seven hundred fourteen million, five hundred forty-seven thousand, seventy-two".