75938220 has 108 divisors (see below), whose sum is σ = 238558320. Its totient is φ = 19552320.

The previous prime is 75938183. The next prime is 75938243. The reversal of 75938220 is 2283957.

It is a happy number.

It is a super-2 number, since 2×75938220² = 11533226513536800, which contains 22 as substring.

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

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 35 ways as a sum of consecutive naturals, for example, 172761 + ... + 173199.

Almost surely, 2^75938220 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 75938220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119279160).

75938220 is an abundant number, since it is smaller than the sum of its proper divisors (162620100).

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

75938220 is a wasteful number, since it uses less digits than its factorization.

75938220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 75938220 is about 8714.2538406911. The cubic root of 75938220 is about 423.4675513546.

The spelling of 75938220 in words is "seventy-five million, nine hundred thirty-eight thousand, two hundred twenty".