71895072 has 48 divisors (see below), whose sum is σ = 191328480. Its totient is φ = 23634432.

The previous prime is 71895071. The next prime is 71895077. The reversal of 71895072 is 27059817.

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

It is a self number, because there is not a number n which added to its sum of digits gives 71895072.

It is not an unprimeable number, because it can be changed into a prime (71895071) 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, 1879 + ... + 12137.

It is an arithmetic number, because the mean of its divisors is an integer number (3986010).

Almost surely, 2^71895072 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 71895072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95664240).

71895072 is an abundant number, since it is smaller than the sum of its proper divisors (119433408).

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

71895072 is a wasteful number, since it uses less digits than its factorization.

71895072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10345 (or 10337 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 39.

The square root of 71895072 is about 8479.0961782492. The cubic root of 71895072 is about 415.8145746597.

The spelling of 71895072 in words is "seventy-one million, eight hundred ninety-five thousand, seventy-two".