75423084 has 192 divisors, whose sum is σ = 224985600. Its totient is φ = 19353600.

The previous prime is 75423083. The next prime is 75423097. The reversal of 75423084 is 48032457.

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

It is not an unprimeable number, because it can be changed into a prime (75423083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1236414 + ... + 1236474.

It is an arithmetic number, because the mean of its divisors is an integer number (1171800).

Almost surely, 2^75423084 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 75423084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112492800).

75423084 is an abundant number, since it is smaller than the sum of its proper divisors (149562516).

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

75423084 is a wasteful number, since it uses less digits than its factorization.

75423084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 75423084 is about 8684.6464522167. The cubic root of 75423084 is about 422.5078303463.

The spelling of 75423084 in words is "seventy-five million, four hundred twenty-three thousand, eighty-four".