71736480 has 144 divisors (see below), whose sum is σ = 252854784. Its totient is φ = 18501120.

The previous prime is 71736439. The next prime is 71736487. The reversal of 71736480 is 8463717.

71736480 is a `hidden beast` number, since 7 + 1 + 7 + 3 + 648 + 0 = 666.

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

It is a super-2 number, since 2×71736480² = 10292245125580800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (71736487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43837 + ... + 45443.

It is an arithmetic number, because the mean of its divisors is an integer number (1755936).

Almost surely, 2^71736480 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 71736480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126427392).

71736480 is an abundant number, since it is smaller than the sum of its proper divisors (181118304).

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

71736480 is a wasteful number, since it uses less digits than its factorization.

71736480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1659 (or 1648 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 71736480 is about 8469.7390750837. The cubic root of 71736480 is about 415.5086036961.

The spelling of 71736480 in words is "seventy-one million, seven hundred thirty-six thousand, four hundred eighty".