75714600 has 192 divisors, whose sum is σ = 268107840. Its totient is φ = 17510400.

The previous prime is 75714593. The next prime is 75714619. The reversal of 75714600 is 641757.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 132315 + ... + 132885.

It is an arithmetic number, because the mean of its divisors is an integer number (1396395).

Almost surely, 2^75714600 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 75714600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134053920).

75714600 is an abundant number, since it is smaller than the sum of its proper divisors (192393240).

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

75714600 is a wasteful number, since it uses less digits than its factorization.

75714600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 75714600 is about 8701.4136782479. The cubic root of 75714600 is about 423.0514722558.

The spelling of 75714600 in words is "seventy-five million, seven hundred fourteen thousand, six hundred".