71772866706240 has 1008 divisors, whose sum is σ = 291516682820688. Its totient is φ = 16157772546048.

The previous prime is 71772866706221. The next prime is 71772866706347. The reversal of 71772866706240 is 4260766827717.

It can be written as a sum of positive squares in 8 ways, for example, as 7158664122624 + 64614202583616 = 2675568^2 + 8038296^2 .

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7963255974 + ... + 7963264986.

Almost surely, 2^{71772866706240} is an apocalyptic number.

71772866706240 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 71772866706240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145758341410344).

71772866706240 is an abundant number, since it is smaller than the sum of its proper divisors (219743816114448).

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

71772866706240 is a wasteful number, since it uses less digits than its factorization.

71772866706240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9896 (or 9876 counting only the distinct ones).

The product of its (nonzero) digits is 66382848, while the sum is 63.

The spelling of 71772866706240 in words is "seventy-one trillion, seven hundred seventy-two billion, eight hundred sixty-six million, seven hundred six thousand, two hundred forty".