71827201 has 8 divisors (see below), whose sum is σ = 76063680. Its totient is φ = 67636368.

The previous prime is 71827199. The next prime is 71827211. The reversal of 71827201 is 10272817.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 71827201 - 2¹ = 71827199 is a prime.

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 71827201.

It is not an unprimeable number, because it can be changed into a prime (71827211) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8146 + ... + 14491.

It is an arithmetic number, because the mean of its divisors is an integer number (9507960).

Almost surely, 2^71827201 is an apocalyptic number.

It is an amenable number.

71827201 is a deficient number, since it is larger than the sum of its proper divisors (4236479).

71827201 is a wasteful number, since it uses less digits than its factorization.

71827201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22823.

The product of its (nonzero) digits is 1568, while the sum is 28.

The square root of 71827201 is about 8475.0929788410. The cubic root of 71827201 is about 415.6836865215.

The spelling of 71827201 in words is "seventy-one million, eight hundred twenty-seven thousand, two hundred one".