75145590 has 128 divisors (see below), whose sum is σ = 219340800. Its totient is φ = 18195840.

The previous prime is 75145571. The next prime is 75145591. The reversal of 75145590 is 9554157.

75145590 is a `hidden beast` number, since 7 + 514 + 55 + 90 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75145591) 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, 277155 + ... + 277425.

It is an arithmetic number, because the mean of its divisors is an integer number (1713600).

Almost surely, 2^75145590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75145590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109670400).

75145590 is an abundant number, since it is smaller than the sum of its proper divisors (144195210).

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

75145590 is a wasteful number, since it uses less digits than its factorization.

75145590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 36.

The square root of 75145590 is about 8668.6556051097. The cubic root of 75145590 is about 421.9890348521.

The spelling of 75145590 in words is "seventy-five million, one hundred forty-five thousand, five hundred ninety".