71413728 has 48 divisors (see below), whose sum is σ = 189418320. Its totient is φ = 23556096.

The previous prime is 71413721. The next prime is 71413807. The reversal of 71413728 is 82731417.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71413721) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5478 + ... + 13146.

It is an arithmetic number, because the mean of its divisors is an integer number (3946215).

Almost surely, 2^71413728 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 71413728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94709160).

71413728 is an abundant number, since it is smaller than the sum of its proper divisors (118004592).

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

71413728 is a wasteful number, since it uses less digits than its factorization.

71413728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7779 (or 7771 counting only the distinct ones).

The product of its digits is 9408, while the sum is 33.

The square root of 71413728 is about 8450.6643525820. The cubic root of 71413728 is about 414.8845239267.

The spelling of 71413728 in words is "seventy-one million, four hundred thirteen thousand, seven hundred twenty-eight".