72801600 has 168 divisors, whose sum is σ = 247558560. Its totient is φ = 18708480.

The previous prime is 72801587. The next prime is 72801611. The reversal of 72801600 is 610827.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138939 + ... + 139461.

Almost surely, 2^72801600 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 72801600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123779280).

72801600 is an abundant number, since it is smaller than the sum of its proper divisors (174756960).

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

72801600 is a wasteful number, since it uses less digits than its factorization.

72801600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 72801600 is about 8532.3853640116. The cubic root of 72801600 is about 417.5549546985.

The spelling of 72801600 in words is "seventy-two million, eight hundred one thousand, six hundred".