75138401 has 16 divisors (see below), whose sum is σ = 85532160. Its totient is φ = 65482560.

The previous prime is 75138353. The next prime is 75138403. The reversal of 75138401 is 10483157.

It is not a de Polignac number, because 75138401 - 2²⁶ = 8029537 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (75138403) 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, 22031 + ... + 25211.

It is an arithmetic number, because the mean of its divisors is an integer number (5345760).

Almost surely, 2^75138401 is an apocalyptic number.

It is an amenable number.

75138401 is a deficient number, since it is larger than the sum of its proper divisors (10393759).

75138401 is a wasteful number, since it uses less digits than its factorization.

75138401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3296.

The product of its (nonzero) digits is 3360, while the sum is 29.

The square root of 75138401 is about 8668.2409403523. The cubic root of 75138401 is about 421.9755775269.

The spelling of 75138401 in words is "seventy-five million, one hundred thirty-eight thousand, four hundred one".