71367072 has 96 divisors (see below), whose sum is σ = 217736064. Its totient is φ = 20044800.

The previous prime is 71367061. The next prime is 71367083. The reversal of 71367072 is 27076317.

It is an interprime number because it is at equal distance from previous prime (71367061) and next prime (71367083).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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, 40122 + ... + 41862.

It is an arithmetic number, because the mean of its divisors is an integer number (2268084).

Almost surely, 2^71367072 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 71367072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108868032).

71367072 is an abundant number, since it is smaller than the sum of its proper divisors (146368992).

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

71367072 is a wasteful number, since it uses less digits than its factorization.

71367072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1822 (or 1814 counting only the distinct ones).

The product of its (nonzero) digits is 12348, while the sum is 33.

The square root of 71367072 is about 8447.9034085387. The cubic root of 71367072 is about 414.7941534903.

The spelling of 71367072 in words is "seventy-one million, three hundred sixty-seven thousand, seventy-two".