75724272 has 120 divisors (see below), whose sum is σ = 240349200. Its totient is φ = 22063104.

The previous prime is 75724267. The next prime is 75724277. The reversal of 75724272 is 27242757.

It is an interprime number because it is at equal distance from previous prime (75724267) and next prime (75724277).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75724277) 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 23 ways as a sum of consecutive naturals, for example, 34504 + ... + 36632.

It is an arithmetic number, because the mean of its divisors is an integer number (2002910).

Almost surely, 2^75724272 is an apocalyptic number.

75724272 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75724272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120174600).

75724272 is an abundant number, since it is smaller than the sum of its proper divisors (164624928).

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

75724272 is a wasteful number, since it uses less digits than its factorization.

75724272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2175 (or 2166 counting only the distinct ones).

The product of its digits is 54880, while the sum is 36.

The square root of 75724272 is about 8701.9694322607. The cubic root of 75724272 is about 423.0694854247.

The spelling of 75724272 in words is "seventy-five million, seven hundred twenty-four thousand, two hundred seventy-two".