75209820 has 96 divisors (see below), whose sum is σ = 241844736. Its totient is φ = 17107200.

The previous prime is 75209801. The next prime is 75209833. The reversal of 75209820 is 2890257.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138750 + ... + 139290.

It is an arithmetic number, because the mean of its divisors is an integer number (2519216).

Almost surely, 2^75209820 is an apocalyptic number.

75209820 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 75209820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120922368).

75209820 is an abundant number, since it is smaller than the sum of its proper divisors (166634916).

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

75209820 is a wasteful number, since it uses less digits than its factorization.

75209820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 75209820 is about 8672.3595405172. The cubic root of 75209820 is about 422.1092310249.

The spelling of 75209820 in words is "seventy-five million, two hundred nine thousand, eight hundred twenty".