71524068000 has 1152 divisors, whose sum is σ = 305176854528. Its totient is φ = 14319360000.

The previous prime is 71524067999. The next prime is 71524068043. The reversal of 71524068000 is 86042517.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 315083887 + ... + 315084113.

It is an arithmetic number, because the mean of its divisors is an integer number (264910464).

Almost surely, 2^71524068000 is an apocalyptic number.

71524068000 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 71524068000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152588427264).

71524068000 is an abundant number, since it is smaller than the sum of its proper divisors (233652786528).

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

71524068000 is a wasteful number, since it uses less digits than its factorization.

71524068000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The spelling of 71524068000 in words is "seventy-one billion, five hundred twenty-four million, sixty-eight thousand".