71693440 has 128 divisors (see below), whose sum is σ = 211115520. Its totient is φ = 22671360.

The previous prime is 71693411. The next prime is 71693473. The reversal of 71693440 is 4439617.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 71693396 and 71693405.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57625 + ... + 58855.

It is an arithmetic number, because the mean of its divisors is an integer number (1649340).

Almost surely, 2^71693440 is an apocalyptic number.

71693440 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 71693440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105557760).

71693440 is an abundant number, since it is smaller than the sum of its proper divisors (139422080).

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

71693440 is a wasteful number, since it uses less digits than its factorization.

71693440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1270 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 71693440 is about 8467.1978835976. The cubic root of 71693440 is about 415.4254889961.

It can be divided in two parts, 7169 and 3440, that added together give a square (10609 = 103²).

The spelling of 71693440 in words is "seventy-one million, six hundred ninety-three thousand, four hundred forty".