71418880 has 176 divisors, whose sum is σ = 196020720. Its totient is φ = 24772608.

The previous prime is 71418863. The next prime is 71418881. The reversal of 71418880 is 8881417.

It can be written as a sum of positive squares in 8 ways, for example, as 50176 + 71368704 = 224^2 + 8448^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71418881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1930222 + ... + 1930258.

Almost surely, 2^71418880 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 71418880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98010360).

71418880 is an abundant number, since it is smaller than the sum of its proper divisors (124601840).

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

71418880 is a wasteful number, since it uses less digits than its factorization.

71418880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 37.

The square root of 71418880 is about 8450.9691751893. The cubic root of 71418880 is about 414.8945006904.

The spelling of 71418880 in words is "seventy-one million, four hundred eighteen thousand, eight hundred eighty".