71497574400 has 576 divisors, whose sum is σ = 279563356800. Its totient is φ = 15771893760.

The previous prime is 71497574381. The next prime is 71497574411. The reversal of 71497574400 is 447579417.

It is a happy number.

It is a super-2 number, since 2×71497574400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 71497574400.

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, 31179654 + ... + 31181946.

It is an arithmetic number, because the mean of its divisors is an integer number (485353050).

Almost surely, 2^71497574400 is an apocalyptic number.

71497574400 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 71497574400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139781678400).

71497574400 is an abundant number, since it is smaller than the sum of its proper divisors (208065782400).

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

71497574400 is a wasteful number, since it uses less digits than its factorization.

71497574400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2364 (or 2339 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 48.

The spelling of 71497574400 in words is "seventy-one billion, four hundred ninety-seven million, five hundred seventy-four thousand, four hundred".