71392147200 has 1296 divisors, whose sum is σ = 302748122880. Its totient is φ = 16321536000.

The previous prime is 71392147193. The next prime is 71392147201. The reversal of 71392147200 is 274129317.

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 (71392147201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1005523165 + ... + 1005523235.

Almost surely, 2^71392147200 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 71392147200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151374061440).

71392147200 is an abundant number, since it is smaller than the sum of its proper divisors (231355975680).

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

71392147200 is a wasteful number, since it uses less digits than its factorization.

71392147200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 71392147200 in words is "seventy-one billion, three hundred ninety-two million, one hundred forty-seven thousand, two hundred".