71826560 has 128 divisors (see below), whose sum is σ = 188924400. Its totient is φ = 25952256.

The previous prime is 71826551. The next prime is 71826569. The reversal of 71826560 is 6562817.

It is an interprime number because it is at equal distance from previous prime (71826551) and next prime (71826569).

It can be written as a sum of positive squares in 8 ways, for example, as 7441984 + 64384576 = 2728^2 + 8024^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 71826560.

It is not an unprimeable number, because it can be changed into a prime (71826569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 740432 + ... + 740528.

Almost surely, 2^71826560 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 71826560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94462200).

71826560 is an abundant number, since it is smaller than the sum of its proper divisors (117097840).

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

71826560 is a wasteful number, since it uses less digits than its factorization.

71826560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 71826560 is about 8475.0551620624. The cubic root of 71826560 is about 415.6824499703.

The spelling of 71826560 in words is "seventy-one million, eight hundred twenty-six thousand, five hundred sixty".