71893696900 has 27 divisors (see below), whose sum is σ = 156015140911. Its totient is φ = 28756406240.

The previous prime is 71893696879. The next prime is 71893696921. The reversal of 71893696900 is 969639817.

The square root of 71893696900 is 268130.

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

It is an interprime number because it is at equal distance from previous prime (71893696879) and next prime (71893696921).

It can be written as a sum of positive squares in 4 ways, for example, as 899160196 + 70994536704 = 29986^2 + 266448^2 .

It is a super-2 number, since 2×71893696900² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

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, 2667894 + ... + 2694706.

Almost surely, 2^71893696900 is an apocalyptic number.

71893696900 is the 268130-th square number.

It is an amenable number.

71893696900 is an abundant number, since it is smaller than the sum of its proper divisors (84121444011).

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

71893696900 is an frugal number, since it uses more digits than its factorization.

71893696900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53640 (or 26820 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 58.

The spelling of 71893696900 in words is "seventy-one billion, eight hundred ninety-three million, six hundred ninety-six thousand, nine hundred".