74132100 has 243 divisors, whose sum is σ = 277053231. Its totient is φ = 16531200.

The previous prime is 74132089. The next prime is 74132101. The reversal of 74132100 is 123147.

The square root of 74132100 is 8610.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 31203396 + 42928704 = 5586^2 + 6552^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (74132101) 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 80 ways as a sum of consecutive naturals, for example, 1808080 + ... + 1808120.

Almost surely, 2^74132100 is an apocalyptic number.

74132100 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

74132100 is the 8610-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74132100

74132100 is an abundant number, since it is smaller than the sum of its proper divisors (202921131).

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

74132100 is a wasteful number, since it uses less digits than its factorization.

74132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The cubic root of 74132100 is about 420.0833168044.

Adding to 74132100 its reverse (123147), we get a palindrome (74255247).

The spelling of 74132100 in words is "seventy-four million, one hundred thirty-two thousand, one hundred".