71365320 has 384 divisors, whose sum is σ = 284601600. Its totient is φ = 15814656.

The previous prime is 71365319. The next prime is 71365351. The reversal of 71365320 is 2356317.

It is a happy number.

71365320 is a `hidden beast` number, since 7 + 1 + 3 + 653 + 2 + 0 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3102829 + ... + 3102851.

It is an arithmetic number, because the mean of its divisors is an integer number (741150).

Almost surely, 2^71365320 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 71365320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142300800).

71365320 is an abundant number, since it is smaller than the sum of its proper divisors (213236280).

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

71365320 is a wasteful number, since it uses less digits than its factorization.

71365320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 71365320 is about 8447.7997135349. The cubic root of 71365320 is about 414.7907591831.

The spelling of 71365320 in words is "seventy-one million, three hundred sixty-five thousand, three hundred twenty".