75349120 has 192 divisors, whose sum is σ = 227908800. Its totient is φ = 23316480.

The previous prime is 75349097. The next prime is 75349121. The reversal of 75349120 is 2194357.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75349121) 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 23 ways as a sum of consecutive naturals, for example, 542011 + ... + 542149.

It is an arithmetic number, because the mean of its divisors is an integer number (1187025).

Almost surely, 2^75349120 is an apocalyptic number.

75349120 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75349120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113954400).

75349120 is an abundant number, since it is smaller than the sum of its proper divisors (152559680).

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

75349120 is a wasteful number, since it uses less digits than its factorization.

75349120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 75349120 is about 8680.3870881430. The cubic root of 75349120 is about 422.3696737487.

The spelling of 75349120 in words is "seventy-five million, three hundred forty-nine thousand, one hundred twenty".