71934750720 has 624 divisors, whose sum is σ = 287861882880. Its totient is φ = 16275603456.

The previous prime is 71934750703. The next prime is 71934750773. The reversal of 71934750720 is 2705743917.

71934750720 is a `hidden beast` number, since 71 + 93 + 475 + 0 + 7 + 20 = 666.

It is a super-2 number, since 2×71934750720² (a number of 23 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 163860261 + ... + 163860699.

It is an arithmetic number, because the mean of its divisors is an integer number (461317120).

Almost surely, 2^71934750720 is an apocalyptic number.

71934750720 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 71934750720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143930941440).

71934750720 is an abundant number, since it is smaller than the sum of its proper divisors (215927132160).

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

71934750720 is a wasteful number, since it uses less digits than its factorization.

71934750720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The spelling of 71934750720 in words is "seventy-one billion, nine hundred thirty-four million, seven hundred fifty thousand, seven hundred twenty".