75078164 has 48 divisors (see below), whose sum is σ = 158930688. Its totient is φ = 30336768.

The previous prime is 75078163. The next prime is 75078173. The reversal of 75078164 is 46187057.

It is a super-2 number, since 2×75078164² = 11273461419221792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75078161) 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, 46214 + ... + 47810.

It is an arithmetic number, because the mean of its divisors is an integer number (3311056).

Almost surely, 2^75078164 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 75078164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79465344).

75078164 is an abundant number, since it is smaller than the sum of its proper divisors (83852524).

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

75078164 is a wasteful number, since it uses less digits than its factorization.

75078164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1704 (or 1702 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 38.

The square root of 75078164 is about 8664.7656633056. The cubic root of 75078164 is about 421.8627841657.

The spelling of 75078164 in words is "seventy-five million, seventy-eight thousand, one hundred sixty-four".