75272400 has 360 divisors, whose sum is σ = 311825280. Its totient is φ = 16450560.

The previous prime is 75272389. The next prime is 75272401. The reversal of 75272400 is 427257.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75272401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 730749 + ... + 730851.

Almost surely, 2^75272400 is an apocalyptic number.

75272400 is a gapful number since it is divisible by the number (70) 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 75272400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155912640).

75272400 is an abundant number, since it is smaller than the sum of its proper divisors (236552880).

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

75272400 is a wasteful number, since it uses less digits than its factorization.

75272400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 75272400 is about 8675.9668049157. The cubic root of 75272400 is about 422.2262736864.

Adding to 75272400 its reverse (427257), we get a palindrome (75699657).

The spelling of 75272400 in words is "seventy-five million, two hundred seventy-two thousand, four hundred".