71928158400 has 378 divisors, whose sum is σ = 297391294980. Its totient is φ = 16440560640.

The previous prime is 71928158389. The next prime is 71928158413. The reversal of 71928158400 is 485182917.

71928158400 is a `hidden beast` number, since 7 + 1 + 92 + 8 + 158 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 654631 + ... + 756569.

Almost surely, 2^71928158400 is an apocalyptic number.

71928158400 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 71928158400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148695647490).

71928158400 is an abundant number, since it is smaller than the sum of its proper divisors (225463136580).

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

71928158400 is a wasteful number, since it uses less digits than its factorization.

71928158400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101981 (or 101956 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 71928158400 in words is "seventy-one billion, nine hundred twenty-eight million, one hundred fifty-eight thousand, four hundred".