71828736000 has 768 divisors, whose sum is σ = 282593525760. Its totient is φ = 15851520000.

The previous prime is 71828735947. The next prime is 71828736011. The reversal of 71828736000 is 63782817.

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

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 166655785 + ... + 166656215.

It is an arithmetic number, because the mean of its divisors is an integer number (367960320).

Almost surely, 2^71828736000 is an apocalyptic number.

71828736000 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 71828736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141296762880).

71828736000 is an abundant number, since it is smaller than the sum of its proper divisors (210764789760).

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

71828736000 is a wasteful number, since it uses less digits than its factorization.

71828736000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The spelling of 71828736000 in words is "seventy-one billion, eight hundred twenty-eight million, seven hundred thirty-six thousand".