75730200 has 384 divisors, whose sum is σ = 308313600. Its totient is φ = 14929920.

The previous prime is 75730199. The next prime is 75730211. The reversal of 75730200 is 203757.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1037364 + ... + 1037436.

It is an arithmetic number, because the mean of its divisors is an integer number (802900).

Almost surely, 2^75730200 is an apocalyptic number.

75730200 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 75730200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154156800).

75730200 is an abundant number, since it is smaller than the sum of its proper divisors (232583400).

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

75730200 is a wasteful number, since it uses less digits than its factorization.

75730200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 24.

The square root of 75730200 is about 8702.3100381450. The cubic root of 75730200 is about 423.0805249958.

Adding to 75730200 its reverse (203757), we get a palindrome (75933957).

The spelling of 75730200 in words is "seventy-five million, seven hundred thirty thousand, two hundred".