75126672 has 60 divisors (see below), whose sum is σ = 222625260. Its totient is φ = 23568384.

The previous prime is 75126629. The next prime is 75126673. The reversal of 75126672 is 27662157.

It can be written as a sum of positive squares in 2 ways, for example, as 68956416 + 6170256 = 8304^2 + 2484^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (75126673) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 12897 + ... + 17792.

It is an arithmetic number, because the mean of its divisors is an integer number (3710421).

Almost surely, 2^75126672 is an apocalyptic number.

75126672 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

75126672 is an abundant number, since it is smaller than the sum of its proper divisors (147498588).

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

75126672 is a wasteful number, since it uses less digits than its factorization.

75126672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30720 (or 30711 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 75126672 is about 8667.5643637645. The cubic root of 75126672 is about 421.9536197839.

The spelling of 75126672 in words is "seventy-five million, one hundred twenty-six thousand, six hundred seventy-two".