75200628 has 24 divisors (see below), whose sum is σ = 175623840. Its totient is φ = 25044640.

The previous prime is 75200627. The next prime is 75200641. The reversal of 75200628 is 82600257.

It is a junction number, because it is equal to n+sod(n) for n = 75200595 and 75200604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75200627) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16858 + ... + 20846.

It is an arithmetic number, because the mean of its divisors is an integer number (7317660).

Almost surely, 2^75200628 is an apocalyptic number.

It is an amenable number.

75200628 is an abundant number, since it is smaller than the sum of its proper divisors (100423212).

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

75200628 is a wasteful number, since it uses less digits than its factorization.

75200628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5567 (or 5565 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 75200628 is about 8671.8295647458. The cubic root of 75200628 is about 422.0920338640.

The spelling of 75200628 in words is "seventy-five million, two hundred thousand, six hundred twenty-eight".