71626080 has 144 divisors (see below), whose sum is σ = 234012240. Its totient is φ = 18413568.

The previous prime is 71626033. The next prime is 71626091. The reversal of 71626080 is 8062617.

It is a happy number.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 657066 + ... + 657174.

It is an arithmetic number, because the mean of its divisors is an integer number (1625085).

Almost surely, 2^71626080 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 71626080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117006120).

71626080 is an abundant number, since it is smaller than the sum of its proper divisors (162386160).

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

71626080 is a wasteful number, since it uses less digits than its factorization.

71626080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 71626080 is about 8463.2192456535. The cubic root of 71626080 is about 415.2953430609.

Adding to 71626080 its reverse (8062617), we get a palindrome (79688697).

It can be divided in two parts, 716 and 26080, that added together give a triangular number (26796 = T₂₃₁).

The spelling of 71626080 in words is "seventy-one million, six hundred twenty-six thousand, eighty".