74142240 has 96 divisors (see below), whose sum is σ = 236488896. Its totient is φ = 19522560.

The previous prime is 74142239. The next prime is 74142259. The reversal of 74142240 is 4224147.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 74142240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38910 + ... + 40770.

It is an arithmetic number, because the mean of its divisors is an integer number (2463426).

Almost surely, 2^74142240 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 74142240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118244448).

74142240 is an abundant number, since it is smaller than the sum of its proper divisors (162346656).

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

74142240 is a wasteful number, since it uses less digits than its factorization.

74142240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1962 (or 1954 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 24.

The square root of 74142240 is about 8610.5888300394. The cubic root of 74142240 is about 420.1024693291.

Adding to 74142240 its reverse (4224147), we get a palindrome (78366387).

The spelling of 74142240 in words is "seventy-four million, one hundred forty-two thousand, two hundred forty".