73972800 has 252 divisors, whose sum is σ = 287432496. Its totient is φ = 17894400.

The previous prime is 73972753. The next prime is 73972819. The reversal of 73972800 is 827937.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 158167 + ... + 158633.

Almost surely, 2^73972800 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 73972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143716248).

73972800 is an abundant number, since it is smaller than the sum of its proper divisors (213459696).

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

73972800 is a wasteful number, since it uses less digits than its factorization.

73972800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 73972800 is about 8600.7441538509. The cubic root of 73972800 is about 419.7821999998.

The spelling of 73972800 in words is "seventy-three million, nine hundred seventy-two thousand, eight hundred".