74219040 has 288 divisors, whose sum is σ = 298771200. Its totient is φ = 16422912.

The previous prime is 74219023. The next prime is 74219051. The reversal of 74219040 is 4091247.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 74218995 and 74219013.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 372861 + ... + 373059.

It is an arithmetic number, because the mean of its divisors is an integer number (1037400).

Almost surely, 2^74219040 is an apocalyptic number.

74219040 is a gapful number since it is divisible by the number (70) 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 74219040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149385600).

74219040 is an abundant number, since it is smaller than the sum of its proper divisors (224552160).

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

74219040 is a wasteful number, since it uses less digits than its factorization.

74219040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 74219040 is about 8615.0473010889. The cubic root of 74219040 is about 420.2474732023.

It can be divided in two parts, 7421 and 9040, that added together give a palindrome (16461).

The spelling of 74219040 in words is "seventy-four million, two hundred nineteen thousand, forty".