75762272 has 36 divisors (see below), whose sum is σ = 157453380. Its totient is φ = 35785728.

The previous prime is 75762263. The next prime is 75762307. The reversal of 75762272 is 27226757.

It is a super-3 number, since 3×75762272³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

Its product of digits (82320) is a multiple of the sum of its prime factors (735).

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 214448 + ... + 214800.

It is an arithmetic number, because the mean of its divisors is an integer number (4373705).

Almost surely, 2^75762272 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 75762272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78726690).

75762272 is an abundant number, since it is smaller than the sum of its proper divisors (81691108).

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

75762272 is an equidigital number, since it uses as much as digits as its factorization.

75762272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 374 counting only the distinct ones).

The product of its digits is 82320, while the sum is 38.

The square root of 75762272 is about 8704.1525721922. The cubic root of 75762272 is about 423.1402419187.

Multiplying 75762272 by its sum of digits (38), we get a square (2878966336 = 53656²).

75762272 divided by its sum of digits (38) gives a square (1993744 = 1412²).

The spelling of 75762272 in words is "seventy-five million, seven hundred sixty-two thousand, two hundred seventy-two".