71228080 has 160 divisors (see below), whose sum is σ = 213700608. Its totient is φ = 21427200.

The previous prime is 71228063. The next prime is 71228083. The reversal of 71228080 is 8082217.

71228080 is a nontrivial binomial coefficient, being equal to C(11936, 2).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (71228083) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 190774 + ... + 191146.

Almost surely, 2^71228080 is an apocalyptic number.

71228080 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

71228080 is the 11935-th triangular number and also the 5968-th hexagonal number.

71228080 is the 3979-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71228080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106850304).

71228080 is an abundant number, since it is smaller than the sum of its proper divisors (142472528).

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

71228080 is a wasteful number, since it uses less digits than its factorization.

71228080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 28.

The square root of 71228080 is about 8439.6729794465. The cubic root of 71228080 is about 414.5246989851.

The spelling of 71228080 in words is "seventy-one million, two hundred twenty-eight thousand, eighty".