31723782272 has 216 divisors, whose sum is σ = 80071120215. Its totient is φ = 12477523968.

The previous prime is 31723782271. The next prime is 31723782347. The reversal of 31723782272 is 27228732713.

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.

It can be written as a sum of positive squares in 5 ways, for example, as 18685796416 + 13037985856 = 136696^2 + 114184^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=125944.

It is a super-2 number, since 2×31723782272² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31723782271) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 183374378 + ... + 183374550.

Almost surely, 2^31723782272 is an apocalyptic number.

31723782272 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 31723782272

31723782272 is an abundant number, since it is smaller than the sum of its proper divisors (48347337943).

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

31723782272 is an equidigital number, since it uses as much as digits as its factorization.

31723782272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 195 counting only the distinct ones).

The product of its digits is 395136, while the sum is 44.

The spelling of 31723782272 in words is "thirty-one billion, seven hundred twenty-three million, seven hundred eighty-two thousand, two hundred seventy-two".