71314880 has 224 divisors, whose sum is σ = 218480640. Its totient is φ = 21565440.

The previous prime is 71314879. The next prime is 71314883. The reversal of 71314880 is 8841317.

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

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71314883) 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, 902681 + ... + 902759.

It is an arithmetic number, because the mean of its divisors is an integer number (975360).

Almost surely, 2^71314880 is an apocalyptic number.

71314880 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 71314880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109240320).

71314880 is an abundant number, since it is smaller than the sum of its proper divisors (147165760).

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

71314880 is a wasteful number, since it uses less digits than its factorization.

71314880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The square root of 71314880 is about 8444.8137930922. The cubic root of 71314880 is about 414.6930134014.

The spelling of 71314880 in words is "seventy-one million, three hundred fourteen thousand, eight hundred eighty".