71936726400 has 1152 divisors, whose sum is σ = 331053811200. Its totient is φ = 14932684800.

The previous prime is 71936726377. The next prime is 71936726437. The reversal of 71936726400 is 462763917.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-3 number, since 3×71936726400³ (a number of 34 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

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, 73180309 + ... + 73181291.

It is an arithmetic number, because the mean of its divisors is an integer number (287373100).

Almost surely, 2^71936726400 is an apocalyptic number.

71936726400 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 71936726400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165526905600).

71936726400 is an abundant number, since it is smaller than the sum of its proper divisors (259117084800).

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

71936726400 is a wasteful number, since it uses less digits than its factorization.

71936726400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1045 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 71936726400 in words is "seventy-one billion, nine hundred thirty-six million, seven hundred twenty-six thousand, four hundred".