71901273600 has 720 divisors, whose sum is σ = 284109409584. Its totient is φ = 17252352000.

The previous prime is 71901273593. The next prime is 71901273601. The reversal of 71901273600 is 637210917.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71901273601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 61401015 + ... + 61402185.

Almost surely, 2^71901273600 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 71901273600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142054704792).

71901273600 is an abundant number, since it is smaller than the sum of its proper divisors (212208135984).

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

71901273600 is a wasteful number, since it uses less digits than its factorization.

71901273600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1259 (or 1235 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The spelling of 71901273600 in words is "seventy-one billion, nine hundred one million, two hundred seventy-three thousand, six hundred".