75429224 has 64 divisors (see below), whose sum is σ = 158336640. Its totient is φ = 33465600.

The previous prime is 75429223. The next prime is 75429227. The reversal of 75429224 is 42292457.

It is a Cunningham number, because it is equal to 8685²-1.

It is not an unprimeable number, because it can be changed into a prime (75429223) 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, 451589 + ... + 451755.

It is an arithmetic number, because the mean of its divisors is an integer number (2474010).

Almost surely, 2^75429224 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 75429224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79168320).

75429224 is an abundant number, since it is smaller than the sum of its proper divisors (82907416).

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

75429224 is a wasteful number, since it uses less digits than its factorization.

75429224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 326 counting only the distinct ones).

The product of its digits is 40320, while the sum is 35.

The square root of 75429224 is about 8684.9999424295. Note that the first 4 decimals coincide. The cubic root of 75429224 is about 422.5192951285.

The spelling of 75429224 in words is "seventy-five million, four hundred twenty-nine thousand, two hundred twenty-four".