71974333283472 has 160 divisors (see below), whose sum is σ = 207628804656000. Its totient is φ = 23871451341312.

The previous prime is 71974333283417. The next prime is 71974333283477. The reversal of 71974333283472 is 27438233347917.

71974333283472 is a `hidden beast` number, since 7 + 1 + 97 + 43 + 3 + 32 + 8 + 3 + 472 = 666.

It is not an unprimeable number, because it can be changed into a prime (71974333283477) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69897538 + ... + 70919774.

It is an arithmetic number, because the mean of its divisors is an integer number (1297680029100).

Almost surely, 2^{71974333283472} is an apocalyptic number.

71974333283472 is a gapful number since it is divisible by the number (72) 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 71974333283472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103814402328000).

71974333283472 is an abundant number, since it is smaller than the sum of its proper divisors (135654471372528).

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

71974333283472 is a wasteful number, since it uses less digits than its factorization.

71974333283472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023070 (or 1023058 counting only the distinct ones).

The product of its digits is 128024064, while the sum is 63.

The spelling of 71974333283472 in words is "seventy-one trillion, nine hundred seventy-four billion, three hundred thirty-three million, two hundred eighty-three thousand, four hundred seventy-two".