73574400 has 144 divisors (see below), whose sum is σ = 243734400. Its totient is φ = 19578880.

The previous prime is 73574399. The next prime is 73574407. The reversal of 73574400 is 447537.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (73574407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 153361 + ... + 153839.

It is an arithmetic number, because the mean of its divisors is an integer number (1692600).

Almost surely, 2^73574400 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 73574400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121867200).

73574400 is an abundant number, since it is smaller than the sum of its proper divisors (170160000).

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

73574400 is a wasteful number, since it uses less digits than its factorization.

73574400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 30.

The square root of 73574400 is about 8577.5520983553. The cubic root of 73574400 is about 419.0272271331.

The spelling of 73574400 in words is "seventy-three million, five hundred seventy-four thousand, four hundred".