71673280 has 112 divisors (see below), whose sum is σ = 199339200. Its totient is φ = 24536064.

The previous prime is 71673269. The next prime is 71673307. The reversal of 71673280 is 8237617.

71673280 = T₆₉ + T₇₀ + ... + T₇₅₄.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109434 + ... + 110086.

Almost surely, 2^71673280 is an apocalyptic number.

71673280 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 71673280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99669600).

71673280 is an abundant number, since it is smaller than the sum of its proper divisors (127665920).

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

71673280 is an equidigital number, since it uses as much as digits as its factorization.

71673280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 34.

The square root of 71673280 is about 8466.0073234081. The cubic root of 71673280 is about 415.3865465071.

The spelling of 71673280 in words is "seventy-one million, six hundred seventy-three thousand, two hundred eighty".