74382720 has 128 divisors (see below), whose sum is σ = 249696000. Its totient is φ = 18782208.

The previous prime is 74382703. The next prime is 74382727. The reversal of 74382720 is 2728347.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74382727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35461 + ... + 37499.

It is an arithmetic number, because the mean of its divisors is an integer number (1950750).

Almost surely, 2^74382720 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 74382720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124848000).

74382720 is an abundant number, since it is smaller than the sum of its proper divisors (175313280).

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

74382720 is a wasteful number, since it uses less digits than its factorization.

74382720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2080 (or 2068 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 74382720 is about 8624.5417269557. The cubic root of 74382720 is about 420.5561792619.

The spelling of 74382720 in words is "seventy-four million, three hundred eighty-two thousand, seven hundred twenty".