71788401 has 24 divisors (see below), whose sum is σ = 105391104. Its totient is φ = 47083680.

The previous prime is 71788397. The next prime is 71788421. The reversal of 71788401 is 10488717.

It is not a de Polignac number, because 71788401 - 2² = 71788397 is a prime.

It is not an unprimeable number, because it can be changed into a prime (71788421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 206710 + ... + 207056.

It is an arithmetic number, because the mean of its divisors is an integer number (4391296).

Almost surely, 2^71788401 is an apocalyptic number.

It is an amenable number.

71788401 is a deficient number, since it is larger than the sum of its proper divisors (33602703).

71788401 is a wasteful number, since it uses less digits than its factorization.

71788401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 36.

The square root of 71788401 is about 8472.8036091957. The cubic root of 71788401 is about 415.6088242974.

The spelling of 71788401 in words is "seventy-one million, seven hundred eighty-eight thousand, four hundred one".