74424672 has 288 divisors, whose sum is σ = 267321600. Its totient is φ = 19160064.

The previous prime is 74424671. The next prime is 74424673. The reversal of 74424672 is 27642447.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (74424671) and next prime (74424673).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74424671) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1110783 + ... + 1110849.

It is an arithmetic number, because the mean of its divisors is an integer number (928200).

Almost surely, 2^74424672 is an apocalyptic number.

74424672 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 74424672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133660800).

74424672 is an abundant number, since it is smaller than the sum of its proper divisors (192896928).

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

74424672 is a wasteful number, since it uses less digits than its factorization.

74424672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 127 counting only the distinct ones).

The product of its digits is 75264, while the sum is 36.

The square root of 74424672 is about 8626.9735133475. The cubic root of 74424672 is about 420.6352292390.

The spelling of 74424672 in words is "seventy-four million, four hundred twenty-four thousand, six hundred seventy-two".