74228000 has 192 divisors, whose sum is σ = 228324096. Its totient is φ = 23040000.

The previous prime is 74227991. The next prime is 74228039. The reversal of 74228000 is 82247.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

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, 307880 + ... + 308120.

It is an arithmetic number, because the mean of its divisors is an integer number (1189188).

Almost surely, 2^74228000 is an apocalyptic number.

74228000 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 74228000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114162048).

74228000 is an abundant number, since it is smaller than the sum of its proper divisors (154096096).

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

74228000 is a wasteful number, since it uses less digits than its factorization.

74228000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 74228000 is about 8615.5673057553. The cubic root of 74228000 is about 420.2643838039.

Subtracting from 74228000 its reverse (82247), we obtain a triangular number (74145753 = T₁₂₁₇₇).

The spelling of 74228000 in words is "seventy-four million, two hundred twenty-eight thousand".