73857600 has 252 divisors, whose sum is σ = 275149056. Its totient is φ = 18754560.

The previous prime is 73857551. The next prime is 73857601. The reversal of 73857600 is 675837.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (73857601) 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, 331089 + ... + 331311.

Almost surely, 2^73857600 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 73857600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137574528).

73857600 is an abundant number, since it is smaller than the sum of its proper divisors (201291456).

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

73857600 is a wasteful number, since it uses less digits than its factorization.

73857600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 73857600 is about 8594.0444495011. The cubic root of 73857600 is about 419.5641737579.

The spelling of 73857600 in words is "seventy-three million, eight hundred fifty-seven thousand, six hundred".