75133300 has 72 divisors (see below), whose sum is σ = 179363520. Its totient is φ = 27091200.

The previous prime is 75133291. The next prime is 75133301. The reversal of 75133300 is 333157.

75133300 = T₂₂₃ + T₂₂₄ + ... + T₇₇₂.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75133301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 183496 + ... + 183904.

It is an arithmetic number, because the mean of its divisors is an integer number (2491160).

Almost surely, 2^75133300 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 75133300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89681760).

75133300 is an abundant number, since it is smaller than the sum of its proper divisors (104230220).

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

75133300 is a wasteful number, since it uses less digits than its factorization.

75133300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 945, while the sum is 22.

The square root of 75133300 is about 8667.9467003437. The cubic root of 75133300 is about 421.9660282769.

Adding to 75133300 its reverse (333157), we get a palindrome (75466457).

The spelling of 75133300 in words is "seventy-five million, one hundred thirty-three thousand, three hundred".