71742723780 has 768 divisors, whose sum is σ = 268240896000. Its totient is φ = 14206832640.

The previous prime is 71742723769. The next prime is 71742723809. The reversal of 71742723780 is 8732724717.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 547654315 + ... + 547654445.

It is an arithmetic number, because the mean of its divisors is an integer number (349272000).

Almost surely, 2^71742723780 is an apocalyptic number.

71742723780 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 71742723780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134120448000).

71742723780 is an abundant number, since it is smaller than the sum of its proper divisors (196498172220).

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

71742723780 is a wasteful number, since it uses less digits than its factorization.

71742723780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 921984, while the sum is 48.

The spelling of 71742723780 in words is "seventy-one billion, seven hundred forty-two million, seven hundred twenty-three thousand, seven hundred eighty".