71489920 has 64 divisors (see below), whose sum is σ = 175582800. Its totient is φ = 27813888.

The previous prime is 71489917. The next prime is 71489927. The reversal of 71489920 is 2998417.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×71489920² = 10221617323212800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71489927) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22171 + ... + 25189.

Almost surely, 2^71489920 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 71489920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87791400).

71489920 is an abundant number, since it is smaller than the sum of its proper divisors (104092880).

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

71489920 is a wasteful number, since it uses less digits than its factorization.

71489920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3075 (or 3063 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 40.

The square root of 71489920 is about 8455.1711987399. The cubic root of 71489920 is about 415.0320195936.

The spelling of 71489920 in words is "seventy-one million, four hundred eighty-nine thousand, nine hundred twenty".