74097072 has 160 divisors (see below), whose sum is σ = 246412800. Its totient is φ = 20881152.

The previous prime is 74097061. The next prime is 74097073. The reversal of 74097072 is 27079047.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74097073) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 323454 + ... + 323682.

It is an arithmetic number, because the mean of its divisors is an integer number (1540080).

Almost surely, 2^74097072 is an apocalyptic number.

74097072 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 74097072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123206400).

74097072 is an abundant number, since it is smaller than the sum of its proper divisors (172315728).

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

74097072 is a wasteful number, since it uses less digits than its factorization.

74097072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The square root of 74097072 is about 8607.9656133142. The cubic root of 74097072 is about 420.0171421575.

The spelling of 74097072 in words is "seventy-four million, ninety-seven thousand, seventy-two".