75314190 has 128 divisors (see below), whose sum is σ = 222953472. Its totient is φ = 15903360.

The previous prime is 75314179. The next prime is 75314201. The reversal of 75314190 is 9141357.

It is an interprime number because it is at equal distance from previous prime (75314179) and next prime (75314201).

It is a super-2 number, since 2×75314190² = 11344454430712200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 149479 + ... + 149981.

It is an arithmetic number, because the mean of its divisors is an integer number (1741824).

Almost surely, 2^75314190 is an apocalyptic number.

75314190 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 75314190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111476736).

75314190 is an abundant number, since it is smaller than the sum of its proper divisors (147639282).

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

75314190 is a wasteful number, since it uses less digits than its factorization.

75314190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574.

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 75314190 is about 8678.3748478618. The cubic root of 75314190 is about 422.3043969277.

The spelling of 75314190 in words is "seventy-five million, three hundred fourteen thousand, one hundred ninety".