71872093440 has 864 divisors, whose sum is σ = 304451347200. Its totient is φ = 15288238080.

The previous prime is 71872093427. The next prime is 71872093441. The reversal of 71872093440 is 4439027817.

71872093440 is a `hidden beast` number, since 7 + 187 + 20 + 9 + 3 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71872093441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 93461376 + ... + 93462144.

Almost surely, 2^71872093440 is an apocalyptic number.

71872093440 is a gapful number since it is divisible by the number (70) 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 71872093440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152225673600).

71872093440 is an abundant number, since it is smaller than the sum of its proper divisors (232579253760).

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

71872093440 is a wasteful number, since it uses less digits than its factorization.

71872093440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 883 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 71872093440 in words is "seventy-one billion, eight hundred seventy-two million, ninety-three thousand, four hundred forty".