74721408 has 64 divisors (see below), whose sum is σ = 204913920. Its totient is φ = 24099840.

The previous prime is 74721407. The next prime is 74721419. The reversal of 74721408 is 80412747.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (74721403) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8766 + ... + 15042.

It is an arithmetic number, because the mean of its divisors is an integer number (3201780).

Almost surely, 2^74721408 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 74721408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102456960).

74721408 is an abundant number, since it is smaller than the sum of its proper divisors (130192512).

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

74721408 is a wasteful number, since it uses less digits than its factorization.

74721408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6325 (or 6313 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 33.

The square root of 74721408 is about 8644.1545566932. The cubic root of 74721408 is about 421.1935212372.

It can be divided in two parts, 747 and 21408, that added together give a triangular number (22155 = T₂₁₀).

The spelling of 74721408 in words is "seventy-four million, seven hundred twenty-one thousand, four hundred eight".