75106408 has 64 divisors (see below), whose sum is σ = 167650560. Its totient is φ = 31190016.

The previous prime is 75106399. The next prime is 75106429. The reversal of 75106408 is 80460157.

It is a self number, because there is not a number n which added to its sum of digits gives 75106408.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39741 + ... + 41587.

It is an arithmetic number, because the mean of its divisors is an integer number (2619540).

Almost surely, 2^75106408 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 75106408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83825280).

75106408 is an abundant number, since it is smaller than the sum of its proper divisors (92544152).

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

75106408 is a wasteful number, since it uses less digits than its factorization.

75106408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1906 (or 1902 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 75106408 is about 8666.3953290858. The cubic root of 75106408 is about 421.9156783674.

The spelling of 75106408 in words is "seventy-five million, one hundred six thousand, four hundred eight".