71887357440 has 400 divisors, whose sum is σ = 268690311648. Its totient is φ = 18335268864.

The previous prime is 71887357439. The next prime is 71887357447. The reversal of 71887357440 is 4475378817.

71887357440 is a `hidden beast` number, since 7 + 1 + 88 + 73 + 57 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71887357447) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4761744 + ... + 4776816.

Almost surely, 2^71887357440 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 71887357440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134345155824).

71887357440 is an abundant number, since it is smaller than the sum of its proper divisors (196802954208).

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

71887357440 is a wasteful number, since it uses less digits than its factorization.

71887357440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15131 (or 15106 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 54.

The spelling of 71887357440 in words is "seventy-one billion, eight hundred eighty-seven million, three hundred fifty-seven thousand, four hundred forty".