71669120 has 64 divisors (see below), whose sum is σ = 173024640. Its totient is φ = 28385280.

The previous prime is 71669099. The next prime is 71669123. The reversal of 71669120 is 2196617.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71669123) 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, 71825 + ... + 72815.

It is an arithmetic number, because the mean of its divisors is an integer number (2703510).

Almost surely, 2^71669120 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 71669120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86512320).

71669120 is an abundant number, since it is smaller than the sum of its proper divisors (101355520).

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

71669120 is a wasteful number, since it uses less digits than its factorization.

71669120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123 (or 1111 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 32.

The square root of 71669120 is about 8465.7616314186. The cubic root of 71669120 is about 415.3785098466.

The spelling of 71669120 in words is "seventy-one million, six hundred sixty-nine thousand, one hundred twenty".