75419424 has 168 divisors, whose sum is σ = 230539932. Its totient is φ = 24261120.

The previous prime is 75419423. The next prime is 75419437. The reversal of 75419424 is 42491457.

It is a happy number.

75419424 is a `hidden beast` number, since 7 + 541 + 94 + 24 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 72795024 + 2624400 = 8532^2 + 1620^2 .

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 (75419423) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1236354 + ... + 1236414.

Almost surely, 2^75419424 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 75419424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115269966).

75419424 is an abundant number, since it is smaller than the sum of its proper divisors (155120508).

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

75419424 is an equidigital number, since it uses as much as digits as its factorization.

75419424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 119 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 75419424 is about 8684.4357329650. The cubic root of 75419424 is about 422.5009959945.

The spelling of 75419424 in words is "seventy-five million, four hundred nineteen thousand, four hundred twenty-four".