72289800 has 192 divisors, whose sum is σ = 271857600. Its totient is φ = 17510400.

The previous prime is 72289787. The next prime is 72289817. The reversal of 72289800 is 898227.

It is a super-3 number, since 3×72289800³ (a number of 25 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58792 + ... + 60008.

It is an arithmetic number, because the mean of its divisors is an integer number (1415925).

Almost surely, 2^72289800 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 72289800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135928800).

72289800 is an abundant number, since it is smaller than the sum of its proper divisors (199567800).

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

72289800 is a wasteful number, since it uses less digits than its factorization.

72289800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1253 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 72289800 is about 8502.3408541413. The cubic root of 72289800 is about 416.5741732472.

The spelling of 72289800 in words is "seventy-two million, two hundred eighty-nine thousand, eight hundred".