75420352 has 56 divisors (see below), whose sum is σ = 173288960. Its totient is φ = 31898880.

The previous prime is 75420343. The next prime is 75420353. The reversal of 75420352 is 25302457.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 75420352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75420353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34327 + ... + 36457.

Almost surely, 2^75420352 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 75420352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86644480).

75420352 is an abundant number, since it is smaller than the sum of its proper divisors (97868608).

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

75420352 is a wasteful number, since it uses less digits than its factorization.

75420352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2229 (or 2219 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 28.

The square root of 75420352 is about 8684.4891617181. The cubic root of 75420352 is about 422.5027288784.

The spelling of 75420352 in words is "seventy-five million, four hundred twenty thousand, three hundred fifty-two".