71428013576832 has 384 divisors, whose sum is σ = 209279580269760. Its totient is φ = 21568960512000.

The previous prime is 71428013576819. The next prime is 71428013576833. The reversal of 71428013576832 is 23867531082417.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×71428013576832² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (71428013576833) 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, 17536951948 + ... + 17536956020.

Almost surely, 2^{71428013576832} 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 71428013576832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104639790134880).

71428013576832 is an abundant number, since it is smaller than the sum of its proper divisors (137851566692928).

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

71428013576832 is a wasteful number, since it uses less digits than its factorization.

71428013576832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5344 (or 5321 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 57.

The spelling of 71428013576832 in words is "seventy-one trillion, four hundred twenty-eight billion, thirteen million, five hundred seventy-six thousand, eight hundred thirty-two".