71926560 has 144 divisors (see below), whose sum is σ = 247665600. Its totient is φ = 19008000.

The previous prime is 71926559. The next prime is 71926579. The reversal of 71926560 is 6562917.

71926560 is a `hidden beast` number, since 7 + 1 + 92 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

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, 286435 + ... + 286685.

It is an arithmetic number, because the mean of its divisors is an integer number (1719900).

Almost surely, 2^71926560 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 71926560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123832800).

71926560 is an abundant number, since it is smaller than the sum of its proper divisors (175739040).

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

71926560 is a wasteful number, since it uses less digits than its factorization.

71926560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 71926560 is about 8480.9527766637. The cubic root of 71926560 is about 415.8752707916.

The spelling of 71926560 in words is "seventy-one million, nine hundred twenty-six thousand, five hundred sixty".