71741376 has 168 divisors, whose sum is σ = 244083840. Its totient is φ = 20466432.

The previous prime is 71741339. The next prime is 71741413. The reversal of 71741376 is 67314717.

It is an interprime number because it is at equal distance from previous prime (71741339) and next prime (71741413).

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 71741376.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108535 + ... + 109193.

It is an arithmetic number, because the mean of its divisors is an integer number (1452880).

Almost surely, 2^71741376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71741376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122041920).

71741376 is an abundant number, since it is smaller than the sum of its proper divisors (172342464).

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

71741376 is an equidigital number, since it uses as much as digits as its factorization.

71741376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 671 counting only the distinct ones).

The product of its digits is 24696, while the sum is 36.

The square root of 71741376 is about 8470.0280991269. The cubic root of 71741376 is about 415.5180562733.

The spelling of 71741376 in words is "seventy-one million, seven hundred forty-one thousand, three hundred seventy-six".