75628000 has 192 divisors, whose sum is σ = 221090688. Its totient is φ = 24883200.

The previous prime is 75627991. The next prime is 75628009. The reversal of 75628000 is 82657.

It is an interprime number because it is at equal distance from previous prime (75627991) and next prime (75628009).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 75628000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75628009) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1035964 + ... + 1036036.

It is an arithmetic number, because the mean of its divisors is an integer number (1151514).

Almost surely, 2^75628000 is an apocalyptic number.

75628000 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 75628000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110545344).

75628000 is an abundant number, since it is smaller than the sum of its proper divisors (145462688).

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

75628000 is a wasteful number, since it uses less digits than its factorization.

75628000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 75628000 is about 8696.4360516248. The cubic root of 75628000 is about 422.8901196933.

The spelling of 75628000 in words is "seventy-five million, six hundred twenty-eight thousand".