75151272 has 128 divisors (see below), whose sum is σ = 224040960. Its totient is φ = 20563200.

The previous prime is 75151259. The next prime is 75151273. The reversal of 75151272 is 27215157.

It is not an unprimeable number, because it can be changed into a prime (75151273) 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, 729573 + ... + 729675.

It is an arithmetic number, because the mean of its divisors is an integer number (1750320).

Almost surely, 2^75151272 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 75151272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112020480).

75151272 is an abundant number, since it is smaller than the sum of its proper divisors (148889688).

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

75151272 is a wasteful number, since it uses less digits than its factorization.

75151272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 259 counting only the distinct ones).

The product of its digits is 4900, while the sum is 30.

The square root of 75151272 is about 8668.9833313947. The cubic root of 75151272 is about 421.9996705672. Note that the first 3 decimals are identical.

The spelling of 75151272 in words is "seventy-five million, one hundred fifty-one thousand, two hundred seventy-two".