71773840 has 40 divisors (see below), whose sum is σ = 172634040. Its totient is φ = 27718656.

The previous prime is 71773831. The next prime is 71773843. The reversal of 71773840 is 4837717.

It can be written as a sum of positive squares in 4 ways, for example, as 944784 + 70829056 = 972^2 + 8416^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 71773840.

It is not an unprimeable number, because it can be changed into a prime (71773843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13149 + ... + 17788.

It is an arithmetic number, because the mean of its divisors is an integer number (4315851).

Almost surely, 2^71773840 is an apocalyptic number.

It is an amenable number.

71773840 is an abundant number, since it is smaller than the sum of its proper divisors (100860200).

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

71773840 is a wasteful number, since it uses less digits than its factorization.

71773840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30979 (or 30973 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 37.

The square root of 71773840 is about 8471.9442868801. The cubic root of 71773840 is about 415.5807227787.

The spelling of 71773840 in words is "seventy-one million, seven hundred seventy-three thousand, eight hundred forty".