71503872000 has 768 divisors, whose sum is σ = 271371522240. Its totient is φ = 16580608000.

The previous prime is 71503871981. The next prime is 71503872007. The reversal of 71503872000 is 27830517.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×71503872000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71503872007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3108863989 + ... + 3108864011.

Almost surely, 2^71503872000 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 71503872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135685761120).

71503872000 is an abundant number, since it is smaller than the sum of its proper divisors (199867650240).

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

71503872000 is an equidigital number, since it uses as much as digits as its factorization.

71503872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The spelling of 71503872000 in words is "seventy-one billion, five hundred three million, eight hundred seventy-two thousand".