71290368 has 140 divisors (see below), whose sum is σ = 214682688. Its totient is φ = 23639040.

The previous prime is 71290361. The next prime is 71290369. The reversal of 71290368 is 86309217.

71290368 is a `hidden beast` number, since 7 + 1 + 290 + 368 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71290361) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 373153 + ... + 373343.

Almost surely, 2^71290368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71290368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107341344).

71290368 is an abundant number, since it is smaller than the sum of its proper divisors (143392320).

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

71290368 is an frugal number, since it uses more digits than its factorization.

71290368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 71290368 is about 8443.3623634190. The cubic root of 71290368 is about 414.6454958755.

The spelling of 71290368 in words is "seventy-one million, two hundred ninety thousand, three hundred sixty-eight".