75713100 has 144 divisors (see below), whose sum is σ = 237484800. Its totient is φ = 18558720.

The previous prime is 75713089. The next prime is 75713111. The reversal of 75713100 is 131757.

It is an interprime number because it is at equal distance from previous prime (75713089) and next prime (75713111).

It is a super-2 number, since 2×75713100² = 11464947023220000, which contains 22 as substring.

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, 210721 + ... + 211079.

It is an arithmetic number, because the mean of its divisors is an integer number (1649200).

Almost surely, 2^75713100 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 75713100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118742400).

75713100 is an abundant number, since it is smaller than the sum of its proper divisors (161771700).

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

75713100 is a wasteful number, since it uses less digits than its factorization.

75713100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 735, while the sum is 24.

The square root of 75713100 is about 8701.3274849301. The cubic root of 75713100 is about 423.0486785128.

Adding to 75713100 its reverse (131757), we get a palindrome (75844857).

The spelling of 75713100 in words is "seventy-five million, seven hundred thirteen thousand, one hundred".