74037672 has 64 divisors (see below), whose sum is σ = 212313600. Its totient is φ = 23880960.

The previous prime is 74037637. The next prime is 74037679. The reversal of 74037672 is 27673047.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (74037679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1168 + ... + 12224.

It is an arithmetic number, because the mean of its divisors is an integer number (3317400).

Almost surely, 2^74037672 is an apocalyptic number.

74037672 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74037672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106156800).

74037672 is an abundant number, since it is smaller than the sum of its proper divisors (138275928).

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

74037672 is a wasteful number, since it uses less digits than its factorization.

74037672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11103 (or 11093 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 36.

The square root of 74037672 is about 8604.5146289608. The cubic root of 74037672 is about 419.9048764168.

The spelling of 74037672 in words is "seventy-four million, thirty-seven thousand, six hundred seventy-two".