75151120 has 160 divisors (see below), whose sum is σ = 205701120. Its totient is φ = 25259520.

The previous prime is 75151117. The next prime is 75151133. The reversal of 75151120 is 2115157.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 75151091 and 75151100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 951241 + ... + 951319.

It is an arithmetic number, because the mean of its divisors is an integer number (1285632).

Almost surely, 2^75151120 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 75151120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102850560).

75151120 is an abundant number, since it is smaller than the sum of its proper divisors (130550000).

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

75151120 is a wasteful number, since it uses less digits than its factorization.

75151120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 350, while the sum is 22.

The square root of 75151120 is about 8668.9745645030. The cubic root of 75151120 is about 421.9993860566. Note that the first 3 decimals are identical.

Adding to 75151120 its reverse (2115157), we get a palindrome (77266277).

The spelling of 75151120 in words is "seventy-five million, one hundred fifty-one thousand, one hundred twenty".