76252200 has 96 divisors (see below), whose sum is σ = 238109760. Its totient is φ = 20185600.

The previous prime is 76252193. The next prime is 76252217. The reversal of 76252200 is 225267.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99820 + ... + 100580.

It is an arithmetic number, because the mean of its divisors is an integer number (2480310).

Almost surely, 2^76252200 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 76252200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119054880).

76252200 is an abundant number, since it is smaller than the sum of its proper divisors (161857560).

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

76252200 is a wasteful number, since it uses less digits than its factorization.

76252200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 76252200 is about 8732.2505690114. The cubic root of 76252200 is about 424.0503826447.

Adding to 76252200 its reverse (225267), we get a palindrome (76477467).

The spelling of 76252200 in words is "seventy-six million, two hundred fifty-two thousand, two hundred".