74148840 has 96 divisors (see below), whose sum is σ = 245138400. Its totient is φ = 19432320.

The previous prime is 74148839. The next prime is 74148871. The reversal of 74148840 is 4884147.

It is a happy number.

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 = 74148795 and 74148804.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19495 + ... + 22985.

It is an arithmetic number, because the mean of its divisors is an integer number (2553525).

Almost surely, 2^74148840 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 74148840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122569200).

74148840 is an abundant number, since it is smaller than the sum of its proper divisors (170989560).

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

74148840 is a wasteful number, since it uses less digits than its factorization.

74148840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3567 (or 3560 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 74148840 is about 8610.9720705621. The cubic root of 74148840 is about 420.1149345313.

The spelling of 74148840 in words is "seventy-four million, one hundred forty-eight thousand, eight hundred forty".