75506772 has 48 divisors (see below), whose sum is σ = 193181184. Its totient is φ = 22764000.

The previous prime is 75506759. The next prime is 75506773. The reversal of 75506772 is 27760557.

It is a self number, because there is not a number n which added to its sum of digits gives 75506772.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75506773) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26497 + ... + 29207.

It is an arithmetic number, because the mean of its divisors is an integer number (4024608).

Almost surely, 2^75506772 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 75506772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96590592).

75506772 is an abundant number, since it is smaller than the sum of its proper divisors (117674412).

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

75506772 is a wasteful number, since it uses less digits than its factorization.

75506772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2940 (or 2938 counting only the distinct ones).

The product of its (nonzero) digits is 102900, while the sum is 39.

The square root of 75506772 is about 8689.4632745642. The cubic root of 75506772 is about 422.6640414321.

The spelling of 75506772 in words is "seventy-five million, five hundred six thousand, seven hundred seventy-two".