75331620 has 360 divisors, whose sum is σ = 300102264. Its totient is φ = 15676416.

The previous prime is 75331579. The next prime is 75331661. The reversal of 75331620 is 2613357.

It is a happy number.

75331620 is a `hidden beast` number, since 7 + 5 + 3 + 31 + 620 = 666.

It is an interprime number because it is at equal distance from previous prime (75331579) and next prime (75331661).

It can be written as a sum of positive squares in 4 ways, for example, as 1920996 + 73410624 = 1386^2 + 8568^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

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 119 ways as a sum of consecutive naturals, for example, 1031904 + ... + 1031976.

Almost surely, 2^75331620 is an apocalyptic number.

75331620 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 75331620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150051132).

75331620 is an abundant number, since it is smaller than the sum of its proper divisors (224770644).

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

75331620 is a wasteful number, since it uses less digits than its factorization.

75331620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 75331620 is about 8679.3790100444. The cubic root of 75331620 is about 422.3369724529.

Adding to 75331620 its reverse (2613357), we get a palindrome (77944977).

The spelling of 75331620 in words is "seventy-five million, three hundred thirty-one thousand, six hundred twenty".