71650880 has 112 divisors (see below), whose sum is σ = 201899520. Its totient is φ = 23697408.

The previous prime is 71650871. The next prime is 71650883. The reversal of 71650880 is 8805617.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 71650880.

It is not an unprimeable number, because it can be changed into a prime (71650883) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64409 + ... + 65511.

Almost surely, 2^71650880 is an apocalyptic number.

71650880 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71650880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100949760).

71650880 is an abundant number, since it is smaller than the sum of its proper divisors (130248640).

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

71650880 is a wasteful number, since it uses less digits than its factorization.

71650880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 35.

The square root of 71650880 is about 8464.6842823581. The cubic root of 71650880 is about 415.3432685095.

The spelling of 71650880 in words is "seventy-one million, six hundred fifty thousand, eight hundred eighty".