75151920 has 40 divisors (see below), whose sum is σ = 232971696. Its totient is φ = 20040448.

The previous prime is 75151907. The next prime is 75151931. The reversal of 75151920 is 2915157.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×75151920³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 7 ways as a sum of consecutive naturals, for example, 156327 + ... + 156806.

Almost surely, 2^75151920 is an apocalyptic number.

It is an amenable number.

75151920 is an abundant number, since it is smaller than the sum of its proper divisors (157819776).

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

75151920 is a wasteful number, since it uses less digits than its factorization.

75151920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313149 (or 313143 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 30.

The square root of 75151920 is about 8669.0207059391. The cubic root of 75151920 is about 422.0008834764. Note that the first 3 decimals are identical.

The spelling of 75151920 in words is "seventy-five million, one hundred fifty-one thousand, nine hundred twenty".