71166096 has 135 divisors (see below), whose sum is σ = 216035001. Its totient is φ = 21866112.

The previous prime is 71166079. The next prime is 71166107. The reversal of 71166096 is 69066117.

The square root of 71166096 is 8436.

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., 63680400 + 7485696 = 7980^2 + 2736^2 .

It is a super-2 number, since 2×71166096² = 10129226439762432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 71166096.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1923390 + ... + 1923426.

Almost surely, 2^71166096 is an apocalyptic number.

71166096 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

71166096 is the 8436-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71166096

71166096 is an abundant number, since it is smaller than the sum of its proper divisors (144868905).

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

71166096 is a wasteful number, since it uses less digits than its factorization.

71166096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The cubic root of 71166096 is about 414.4044217215.

Multiplying 71166096 by its sum of digits (36), we get a square (2561979456 = 50616²).

71166096 divided by its sum of digits (36) gives a square (1976836 = 1406²).

The spelling of 71166096 in words is "seventy-one million, one hundred sixty-six thousand, ninety-six".