71872746191232 has 512 divisors, whose sum is σ = 231804840960000. Its totient is φ = 19274092756992.

The previous prime is 71872746191227. The next prime is 71872746191333. The reversal of 71872746191232 is 23219164727817.

It is a happy number.

It is a super-3 number, since 3×71872746191232³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2618396644 + ... + 2618424092.

It is an arithmetic number, because the mean of its divisors is an integer number (452743830000).

Almost surely, 2^{71872746191232} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71872746191232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115902420480000).

71872746191232 is an abundant number, since it is smaller than the sum of its proper divisors (159932094768768).

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

71872746191232 is a wasteful number, since it uses less digits than its factorization.

71872746191232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27966 (or 27954 counting only the distinct ones).

The product of its digits is 14224896, while the sum is 60.

The spelling of 71872746191232 in words is "seventy-one trillion, eight hundred seventy-two billion, seven hundred forty-six million, one hundred ninety-one thousand, two hundred thirty-two".