71632320 has 224 divisors, whose sum is σ = 245790720. Its totient is φ = 17633280.

The previous prime is 71632307. The next prime is 71632321. The reversal of 71632320 is 2323617.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71632321) 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, 862999 + ... + 863081.

It is an arithmetic number, because the mean of its divisors is an integer number (1097280).

Almost surely, 2^71632320 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 71632320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122895360).

71632320 is an abundant number, since it is smaller than the sum of its proper divisors (174158400).

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

71632320 is a wasteful number, since it uses less digits than its factorization.

71632320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 71632320 is about 8463.5878916686. The cubic root of 71632320 is about 415.3074027636.

Adding to 71632320 its reverse (2323617), we get a palindrome (73955937).

The spelling of 71632320 in words is "seventy-one million, six hundred thirty-two thousand, three hundred twenty".