74579040 has 144 divisors (see below), whose sum is σ = 258633648. Its totient is φ = 19565568.

The previous prime is 74579033. The next prime is 74579077. The reversal of 74579040 is 4097547.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 74578986 and 74579004.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 96094 + ... + 96866.

It is an arithmetic number, because the mean of its divisors is an integer number (1796067).

Almost surely, 2^74579040 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 74579040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129316824).

74579040 is an abundant number, since it is smaller than the sum of its proper divisors (184054608).

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

74579040 is a wasteful number, since it uses less digits than its factorization.

74579040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 74579040 is about 8635.9157013023. The cubic root of 74579040 is about 420.9258487143.

The spelling of 74579040 in words is "seventy-four million, five hundred seventy-nine thousand, forty".