74071200 has 144 divisors (see below), whose sum is σ = 275607360. Its totient is φ = 16926720.

The previous prime is 74071189. The next prime is 74071211. The reversal of 74071200 is 217047.

It is an interprime number because it is at equal distance from previous prime (74071189) and next prime (74071211).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14596 + ... + 19004.

It is an arithmetic number, because the mean of its divisors is an integer number (1913940).

Almost surely, 2^74071200 is an apocalyptic number.

74071200 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 74071200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137803680).

74071200 is an abundant number, since it is smaller than the sum of its proper divisors (201536160).

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

74071200 is a wasteful number, since it uses less digits than its factorization.

74071200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4439 (or 4426 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 21.

The square root of 74071200 is about 8606.4626880037. The cubic root of 74071200 is about 419.9682515684.

Adding to 74071200 its reverse (217047), we get a palindrome (74288247).

The spelling of 74071200 in words is "seventy-four million, seventy-one thousand, two hundred".