71785280 has 112 divisors (see below), whose sum is σ = 198485760. Its totient is φ = 24219648.

The previous prime is 71785279. The next prime is 71785283. The reversal of 71785280 is 8258717.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71785283) 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 15 ways as a sum of consecutive naturals, for example, 163301 + ... + 163739.

Almost surely, 2^71785280 is an apocalyptic number.

71785280 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 71785280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99242880).

71785280 is an abundant number, since it is smaller than the sum of its proper divisors (126700480).

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

71785280 is a wasteful number, since it uses less digits than its factorization.

71785280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 38.

The square root of 71785280 is about 8472.6194296687. The cubic root of 71785280 is about 415.6028013470.

The spelling of 71785280 in words is "seventy-one million, seven hundred eighty-five thousand, two hundred eighty".