74138400 has 216 divisors, whose sum is σ = 298980864. Its totient is φ = 16934400.

The previous prime is 74138387. The next prime is 74138401. The reversal of 74138400 is 483147.

It is a super-3 number, since 3×74138400³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (74138401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 49665 + ... + 51135.

Almost surely, 2^74138400 is an apocalyptic number.

74138400 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 74138400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149490432).

74138400 is an abundant number, since it is smaller than the sum of its proper divisors (224842464).

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

74138400 is a wasteful number, since it uses less digits than its factorization.

74138400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1504 (or 1488 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 74138400 is about 8610.3658458860. The cubic root of 74138400 is about 420.0952165075.

The spelling of 74138400 in words is "seventy-four million, one hundred thirty-eight thousand, four hundred".