75332400 has 240 divisors, whose sum is σ = 284148480. Its totient is φ = 16819200.

The previous prime is 75332393. The next prime is 75332417. The reversal of 75332400 is 423357.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 171381 + ... + 171819.

It is an arithmetic number, because the mean of its divisors is an integer number (1183952).

Almost surely, 2^75332400 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 75332400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142074240).

75332400 is an abundant number, since it is smaller than the sum of its proper divisors (208816080).

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

75332400 is a wasteful number, since it uses less digits than its factorization.

75332400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 24.

The square root of 75332400 is about 8679.4239440184. The cubic root of 75332400 is about 422.3384301042.

Adding to 75332400 its reverse (423357), we get a palindrome (75755757).

It can be divided in two parts, 753 and 32400, that added together give a triangular number (33153 = T₂₅₇).

The spelling of 75332400 in words is "seventy-five million, three hundred thirty-two thousand, four hundred".