74632320 has 256 divisors, whose sum is σ = 302572800. Its totient is φ = 17031168.

The previous prime is 74632307. The next prime is 74632339. The reversal of 74632320 is 2323647.

74632320 is a `hidden beast` number, since 7 + 4 + 632 + 3 + 20 = 666.

It is a Cunningham number, because it is equal to 8639²-1.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 6.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120652 + ... + 121268.

It is an arithmetic number, because the mean of its divisors is an integer number (1181925).

Almost surely, 2^74632320 is an apocalyptic number.

74632320 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 74632320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151286400).

74632320 is an abundant number, since it is smaller than the sum of its proper divisors (227940480).

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

74632320 is a wasteful number, since it uses less digits than its factorization.

74632320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 74632320 is about 8638.9999421229. Note that the first 4 decimals coincide. The cubic root of 74632320 is about 421.0260627095.

Adding to 74632320 its reverse (2323647), we get a palindrome (76955967).

The spelling of 74632320 in words is "seventy-four million, six hundred thirty-two thousand, three hundred twenty".