72053200 has 60 divisors (see below), whose sum is σ = 176005228. Its totient is φ = 28339200.

The previous prime is 72053183. The next prime is 72053221. The reversal of 72053200 is 235027.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 5271616 + 66781584 = 2296^2 + 8172^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22924 + ... + 25876.

Almost surely, 2^72053200 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 72053200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88002614).

72053200 is an abundant number, since it is smaller than the sum of its proper divisors (103952028).

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

72053200 is a wasteful number, since it uses less digits than its factorization.

72053200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3032 (or 3021 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 19.

The square root of 72053200 is about 8488.4156354410. The cubic root of 72053200 is about 416.1192027727.

Adding to 72053200 its reverse (235027), we get a palindrome (72288227).

The spelling of 72053200 in words is "seventy-two million, fifty-three thousand, two hundred".