71184960 has 448 divisors, whose sum is σ = 316016640. Its totient is φ = 14653440.

The previous prime is 71184943. The next prime is 71184961. The reversal of 71184960 is 6948117.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (71184961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 665227 + ... + 665333.

Almost surely, 2^71184960 is an apocalyptic number.

71184960 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 71184960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158008320).

71184960 is an abundant number, since it is smaller than the sum of its proper divisors (244831680).

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

71184960 is a wasteful number, since it uses less digits than its factorization.

71184960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 71184960 is about 8437.1179913523. The cubic root of 71184960 is about 414.4410338858.

71184960 divided by its product of nonzero digits (12096) gives a palindrome (5885).

The spelling of 71184960 in words is "seventy-one million, one hundred eighty-four thousand, nine hundred sixty".