72028800 has 288 divisors, whose sum is σ = 267600060. Its totient is φ = 18432000.

The previous prime is 72028787. The next prime is 72028843. The reversal of 72028800 is 882027.

It can be written as a sum of positive squares in 6 ways, for example, as 254016 + 71774784 = 504^2 + 8472^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

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, 1180770 + ... + 1180830.

Almost surely, 2^72028800 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 72028800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133800030).

72028800 is an abundant number, since it is smaller than the sum of its proper divisors (195571260).

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

72028800 is a wasteful number, since it uses less digits than its factorization.

72028800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 72028800 is about 8486.9782608417. The cubic root of 72028800 is about 416.0722261181.

The spelling of 72028800 in words is "seventy-two million, twenty-eight thousand, eight hundred".