74200672 has 96 divisors (see below), whose sum is σ = 182552832. Its totient is φ = 28905984.

The previous prime is 74200669. The next prime is 74200703. The reversal of 74200672 is 27600247.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 74200672.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 241543 + ... + 241849.

It is an arithmetic number, because the mean of its divisors is an integer number (1901592).

Almost surely, 2^74200672 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 74200672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91276416).

74200672 is an abundant number, since it is smaller than the sum of its proper divisors (108352160).

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

74200672 is a wasteful number, since it uses less digits than its factorization.

74200672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 28.

The square root of 74200672 is about 8613.9811933856. The cubic root of 74200672 is about 420.2128022138.

The spelling of 74200672 in words is "seventy-four million, two hundred thousand, six hundred seventy-two".