71738265600 has 819 divisors, whose sum is σ = 275592903429. Its totient is φ = 18513100800.

The previous prime is 71738265583. The next prime is 71738265607. The reversal of 71738265600 is 656283717.

The square root of 71738265600 is 267840.

It is a perfect power (a square), and thus also a powerful number.

71738265600 is a `hidden beast` number, since 7 + 1 + 7 + 3 + 82 + 6 + 560 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 25825775616 + 45912489984 = 160704^2 + 214272^2 .

It is a super-2 number, since 2×71738265600² (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 not an unprimeable number, because it can be changed into a prime (71738265607) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 2314137585 + ... + 2314137615.

Almost surely, 2^71738265600 is an apocalyptic number.

71738265600 is the 267840-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71738265600

71738265600 is an abundant number, since it is smaller than the sum of its proper divisors (203854637829).

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

71738265600 is an frugal number, since it uses more digits than its factorization.

71738265600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 71738265600 in words is "seventy-one billion, seven hundred thirty-eight million, two hundred sixty-five thousand, six hundred".