75008157 has 32 divisors (see below), whose sum is σ = 117159168. Its totient is φ = 41803776.

The previous prime is 75008149. The next prime is 75008159. The reversal of 75008157 is 75180057.

It is not a de Polignac number, because 75008157 - 2³ = 75008149 is a prime.

It is a super-3 number, since 3×75008157³ (a number of 25 digits) contains 333 as substring.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75008159) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 173013 + ... + 173445.

It is an arithmetic number, because the mean of its divisors is an integer number (3661224).

Almost surely, 2^75008157 is an apocalyptic number.

It is an amenable number.

75008157 is a deficient number, since it is larger than the sum of its proper divisors (42151011).

75008157 is a wasteful number, since it uses less digits than its factorization.

75008157 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629.

The product of its (nonzero) digits is 9800, while the sum is 33.

The square root of 75008157 is about 8660.7249696547. The cubic root of 75008157 is about 421.7316207194.

The spelling of 75008157 in words is "seventy-five million, eight thousand, one hundred fifty-seven".