73672819200 has 720 divisors, whose sum is σ = 281200439520. Its totient is φ = 18367119360.

The previous prime is 73672819159. The next prime is 73672819237. The reversal of 73672819200 is 291827637.

73672819200 is a `hidden beast` number, since 7 + 367 + 2 + 81 + 9 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 212313427 + ... + 212313773.

It is an arithmetic number, because the mean of its divisors is an integer number (390556166).

Almost surely, 2^73672819200 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 73672819200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140600219760).

73672819200 is an abundant number, since it is smaller than the sum of its proper divisors (207527620320).

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

73672819200 is a wasteful number, since it uses less digits than its factorization.

73672819200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 73672819200 in words is "seventy-three billion, six hundred seventy-two million, eight hundred nineteen thousand, two hundred".