74752000 has 112 divisors (see below), whose sum is σ = 189125352. Its totient is φ = 29491200.

The previous prime is 74751977. The next prime is 74752003. The reversal of 74752000 is 25747.

It can be written as a sum of positive squares in 4 ways, for example, as 24285184 + 50466816 = 4928^2 + 7104^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (74752003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1023964 + ... + 1024036.

Almost surely, 2^74752000 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 74752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94562676).

74752000 is an abundant number, since it is smaller than the sum of its proper divisors (114373352).

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

74752000 is an frugal number, since it uses more digits than its factorization.

74752000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 25.

The square root of 74752000 is about 8645.9238951080. The cubic root of 74752000 is about 421.2509942537.

Adding to 74752000 its reverse (25747), we get a palindrome (74777747).

The spelling of 74752000 in words is "seventy-four million, seven hundred fifty-two thousand".