73461600 has 288 divisors, whose sum is σ = 281232000. Its totient is φ = 18455040.

The previous prime is 73461593. The next prime is 73461601. The reversal of 73461600 is 616437.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73461601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 410311 + ... + 410489.

It is an arithmetic number, because the mean of its divisors is an integer number (976500).

Almost surely, 2^73461600 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 73461600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140616000).

73461600 is an abundant number, since it is smaller than the sum of its proper divisors (207770400).

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

73461600 is a wasteful number, since it uses less digits than its factorization.

73461600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 73461600 is about 8570.9742736751. The cubic root of 73461600 is about 418.8129748609.

The spelling of 73461600 in words is "seventy-three million, four hundred sixty-one thousand, six hundred".