72298200 has 288 divisors, whose sum is σ = 261411840. Its totient is φ = 16473600.

The previous prime is 72298199. The next prime is 72298241. The reversal of 72298200 is 289227.

72298200 = 483² + 484² + ... + 690².

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 2332185 + ... + 2332215.

It is an arithmetic number, because the mean of its divisors is an integer number (907680).

Almost surely, 2^72298200 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 72298200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130705920).

72298200 is an abundant number, since it is smaller than the sum of its proper divisors (189113640).

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

72298200 is a wasteful number, since it uses less digits than its factorization.

72298200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 72298200 is about 8502.8348213993. The cubic root of 72298200 is about 416.5903077850.

The spelling of 72298200 in words is "seventy-two million, two hundred ninety-eight thousand, two hundred".