71393280 has 224 divisors, whose sum is σ = 264225024. Its totient is φ = 16121856.

The previous prime is 71393249. The next prime is 71393281. The reversal of 71393280 is 8239317.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71393281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 860119 + ... + 860201.

It is an arithmetic number, because the mean of its divisors is an integer number (1179576).

Almost surely, 2^71393280 is an apocalyptic number.

71393280 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 71393280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132112512).

71393280 is an abundant number, since it is smaller than the sum of its proper divisors (192831744).

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

71393280 is an equidigital number, since it uses as much as digits as its factorization.

71393280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 71393280 is about 8449.4544202570. The cubic root of 71393280 is about 414.8449219770.

The spelling of 71393280 in words is "seventy-one million, three hundred ninety-three thousand, two hundred eighty".