74151840 has 192 divisors, whose sum is σ = 276514560. Its totient is φ = 16343040.

The previous prime is 74151817. The next prime is 74151893. The reversal of 74151840 is 4815147.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 74151798 and 74151807.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97060 + ... + 97820.

It is an arithmetic number, because the mean of its divisors is an integer number (1440180).

Almost surely, 2^74151840 is an apocalyptic number.

74151840 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 74151840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138257280).

74151840 is an abundant number, since it is smaller than the sum of its proper divisors (202362720).

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

74151840 is a wasteful number, since it uses less digits than its factorization.

74151840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 74151840 is about 8611.1462651612. The cubic root of 74151840 is about 420.1206002877.

Adding to 74151840 its reverse (4815147), we get a palindrome (78966987).

The spelling of 74151840 in words is "seventy-four million, one hundred fifty-one thousand, eight hundred forty".