71681946 has 64 divisors (see below), whose sum is σ = 176563200. Its totient is φ = 18942336.

The previous prime is 71681941. The next prime is 71681957. The reversal of 71681946 is 64918617.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 71681898 and 71681907.

It is not an unprimeable number, because it can be changed into a prime (71681941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33270 + ... + 35358.

It is an arithmetic number, because the mean of its divisors is an integer number (2758800).

Almost surely, 2^71681946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71681946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88281600).

71681946 is an abundant number, since it is smaller than the sum of its proper divisors (104881254).

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

71681946 is a wasteful number, since it uses less digits than its factorization.

71681946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2163.

The product of its digits is 72576, while the sum is 42.

The square root of 71681946 is about 8466.5191194493. The cubic root of 71681946 is about 415.4032872634.

It can be divided in two parts, 71681 and 946, that added together give a palindrome (72627).

The spelling of 71681946 in words is "seventy-one million, six hundred eighty-one thousand, nine hundred forty-six".