74072400 has 120 divisors (see below), whose sum is σ = 251305344. Its totient is φ = 18585600.

The previous prime is 74072371. The next prime is 74072407. The reversal of 74072400 is 427047.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74072407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18585 + ... + 22215.

Almost surely, 2^74072400 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 74072400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125652672).

74072400 is an abundant number, since it is smaller than the sum of its proper divisors (177232944).

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

74072400 is a wasteful number, since it uses less digits than its factorization.

74072400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3669 (or 3658 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 24.

The square root of 74072400 is about 8606.5324027741. The cubic root of 74072400 is about 419.9705194727.

Adding to 74072400 its reverse (427047), we get a palindrome (74499447).

The spelling of 74072400 in words is "seventy-four million, seventy-two thousand, four hundred".