31072253472 has 486 divisors, whose sum is σ = 103849623423. Its totient is φ = 8806846464.

The previous prime is 31072253441. The next prime is 31072253473. The reversal of 31072253472 is 27435227013.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

31072253472 is a `hidden beast` number, since 31 + 0 + 7 + 22 + 534 + 72 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 12596919696 + 18475333776 = 112236^2 + 135924^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=124644.

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 (31072253473) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 661111753 + ... + 661111799.

Almost surely, 2^31072253472 is an apocalyptic number.

31072253472 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 31072253472

31072253472 is an abundant number, since it is smaller than the sum of its proper divisors (72777369951).

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

31072253472 is a wasteful number, since it uses less digits than its factorization.

31072253472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The spelling of 31072253472 in words is "thirty-one billion, seventy-two million, two hundred fifty-three thousand, four hundred seventy-two".