75246820 has 48 divisors (see below), whose sum is σ = 173307456. Its totient is φ = 27216000.

The previous prime is 75246799. The next prime is 75246841. The reversal of 75246820 is 2864257.

It is an interprime number because it is at equal distance from previous prime (75246799) and next prime (75246841).

It is a super-2 number, since 2×75246820² = 11324167840224800, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 45610 + ... + 47230.

It is an arithmetic number, because the mean of its divisors is an integer number (3610572).

Almost surely, 2^75246820 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 75246820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86653728).

75246820 is an abundant number, since it is smaller than the sum of its proper divisors (98060636).

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

75246820 is a wasteful number, since it uses less digits than its factorization.

75246820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1852 (or 1850 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The square root of 75246820 is about 8674.4924923594. The cubic root of 75246820 is about 422.1784395454.

The spelling of 75246820 in words is "seventy-five million, two hundred forty-six thousand, eight hundred twenty".