75461500 has 48 divisors (see below), whose sum is σ = 169303680. Its totient is φ = 29361600.

The previous prime is 75461489. The next prime is 75461501. The reversal of 75461500 is 516457.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75461501) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16461 + ... + 20539.

It is an arithmetic number, because the mean of its divisors is an integer number (3527160).

Almost surely, 2^75461500 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 75461500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84651840).

75461500 is an abundant number, since it is smaller than the sum of its proper divisors (93842180).

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

75461500 is a wasteful number, since it uses less digits than its factorization.

75461500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4135 (or 4123 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 75461500 is about 8686.8578899393. The cubic root of 75461500 is about 422.5795515623.

Adding to 75461500 its reverse (516457), we get a palindrome (75977957).

The spelling of 75461500 in words is "seventy-five million, four hundred sixty-one thousand, five hundred".