71864741776 has 45 divisors (see below), whose sum is σ = 144267234033. Its totient is φ = 34678311360.

The previous prime is 71864741759. The next prime is 71864741831. The reversal of 71864741776 is 67714746817.

The square root of 71864741776 is 268076.

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

It can be written as a sum of positive squares in only one way, i.e., 37684127376 + 34180614400 = 194124^2 + 184880^2 .

It is a super-2 number, since 2×71864741776² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 71864741776.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 31095661 + ... + 31097971.

Almost surely, 2^71864741776 is an apocalyptic number.

71864741776 is the 268076-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71864741776

71864741776 is an abundant number, since it is smaller than the sum of its proper divisors (72402492257).

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

71864741776 is an frugal number, since it uses more digits than its factorization.

71864741776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4688 (or 2342 counting only the distinct ones).

The product of its digits is 11063808, while the sum is 58.

The spelling of 71864741776 in words is "seventy-one billion, eight hundred sixty-four million, seven hundred forty-one thousand, seven hundred seventy-six".