75379590 has 96 divisors (see below), whose sum is σ = 230289696. Its totient is φ = 16865280.

The previous prime is 75379571. The next prime is 75379609. The reversal of 75379590 is 9597357.

It is a happy number.

75379590 is a `hidden beast` number, since 7 + 53 + 7 + 9 + 590 = 666.

It is an interprime number because it is at equal distance from previous prime (75379571) and next prime (75379609).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9942 + ... + 15798.

It is an arithmetic number, because the mean of its divisors is an integer number (2398851).

Almost surely, 2^75379590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75379590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115144848).

75379590 is an abundant number, since it is smaller than the sum of its proper divisors (154910106).

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

75379590 is a wasteful number, since it uses less digits than its factorization.

75379590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5894 (or 5891 counting only the distinct ones).

The product of its (nonzero) digits is 297675, while the sum is 45.

The square root of 75379590 is about 8682.1420168067. The cubic root of 75379590 is about 422.4265992956.

The spelling of 75379590 in words is "seventy-five million, three hundred seventy-nine thousand, five hundred ninety".