74552400 has 360 divisors, whose sum is σ = 293835360. Its totient is φ = 18040320.

The previous prime is 74552389. The next prime is 74552449. The reversal of 74552400 is 425547.

74552400 is a `hidden beast` number, since 74 + 552 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1263571 + ... + 1263629.

Almost surely, 2^74552400 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 74552400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146917680).

74552400 is an abundant number, since it is smaller than the sum of its proper divisors (219282960).

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

74552400 is a wasteful number, since it uses less digits than its factorization.

74552400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 74552400 is about 8634.3731677522. The cubic root of 74552400 is about 420.8757238175.

Adding to 74552400 its reverse (425547), we get a palindrome (74977947).

The spelling of 74552400 in words is "seventy-four million, five hundred fifty-two thousand, four hundred".