75383136 has 120 divisors (see below), whose sum is σ = 224421120. Its totient is φ = 24820992.

The previous prime is 75383131. The next prime is 75383137. The reversal of 75383136 is 63138357.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (45360) is a multiple of the sum of its prime factors (378).

It is a self number, because there is not a number n which added to its sum of digits gives 75383136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75383131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 329070 + ... + 329298.

It is an arithmetic number, because the mean of its divisors is an integer number (1870176).

Almost surely, 2^75383136 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 75383136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112210560).

75383136 is an abundant number, since it is smaller than the sum of its proper divisors (149037984).

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

75383136 is a wasteful number, since it uses less digits than its factorization.

75383136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 361 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 75383136 is about 8682.3462266832. The cubic root of 75383136 is about 422.4332231100.

The spelling of 75383136 in words is "seventy-five million, three hundred eighty-three thousand, one hundred thirty-six".