71883120 has 40 divisors (see below), whose sum is σ = 222838416. Its totient is φ = 19168768.

The previous prime is 71883109. The next prime is 71883121. The reversal of 71883120 is 2138817.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71883121) 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, 149517 + ... + 149996.

Almost surely, 2^71883120 is an apocalyptic number.

It is an amenable number.

71883120 is an abundant number, since it is smaller than the sum of its proper divisors (150955296).

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

71883120 is a wasteful number, since it uses less digits than its factorization.

71883120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299529 (or 299523 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 71883120 is about 8478.3913568554. The cubic root of 71883120 is about 415.7915313964.

It can be divided in two parts, 718 and 83120, that added together give a palindrome (83838).

The spelling of 71883120 in words is "seventy-one million, eight hundred eighty-three thousand, one hundred twenty".