71679440 has 80 divisors (see below), whose sum is σ = 196654080. Its totient is φ = 23777280.

The previous prime is 71679389. The next prime is 71679469. The reversal of 71679440 is 4497617.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 71679394 and 71679403.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 15296 + ... + 19424.

It is an arithmetic number, because the mean of its divisors is an integer number (2458176).

Almost surely, 2^71679440 is an apocalyptic number.

71679440 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71679440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98327040).

71679440 is an abundant number, since it is smaller than the sum of its proper divisors (124974640).

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

71679440 is a wasteful number, since it uses less digits than its factorization.

71679440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4180 (or 4174 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 38.

The square root of 71679440 is about 8466.3711234507. The cubic root of 71679440 is about 415.3984463757.

The spelling of 71679440 in words is "seventy-one million, six hundred seventy-nine thousand, four hundred forty".