75461568 has 168 divisors, whose sum is σ = 250527312. Its totient is φ = 19869696.

The previous prime is 75461557. The next prime is 75461591. The reversal of 75461568 is 86516457.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121996 + ... + 122612.

It is an arithmetic number, because the mean of its divisors is an integer number (1491234).

Almost surely, 2^75461568 is an apocalyptic number.

75461568 is a gapful number since it is divisible by the number (78) 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 75461568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125263656).

75461568 is an abundant number, since it is smaller than the sum of its proper divisors (175065744).

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

75461568 is a wasteful number, since it uses less digits than its factorization.

75461568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 642 counting only the distinct ones).

The product of its digits is 201600, while the sum is 42.

The square root of 75461568 is about 8686.8618038967. The cubic root of 75461568 is about 422.5796784941.

The spelling of 75461568 in words is "seventy-five million, four hundred sixty-one thousand, five hundred sixty-eight".