75434370 has 128 divisors (see below), whose sum is σ = 212751360. Its totient is φ = 16922880.

The previous prime is 75434347. The next prime is 75434371. The reversal of 75434370 is 7343457.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (75434371) 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, 332197 + ... + 332423.

It is an arithmetic number, because the mean of its divisors is an integer number (1662120).

Almost surely, 2^75434370 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75434370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106375680).

75434370 is an abundant number, since it is smaller than the sum of its proper divisors (137316990).

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

75434370 is a wasteful number, since it uses less digits than its factorization.

75434370 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320.

The product of its (nonzero) digits is 35280, while the sum is 33.

The square root of 75434370 is about 8685.2961952947. The cubic root of 75434370 is about 422.5289034065.

The spelling of 75434370 in words is "seventy-five million, four hundred thirty-four thousand, three hundred seventy".