72063600 has 240 divisors, whose sum is σ = 276029952. Its totient is φ = 15713280.

The previous prime is 72063587. The next prime is 72063611. The reversal of 72063600 is 636027.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 193014 + ... + 193386.

Almost surely, 2^72063600 is an apocalyptic number.

72063600 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72063600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138014976).

72063600 is an abundant number, since it is smaller than the sum of its proper divisors (203966352).

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

72063600 is a wasteful number, since it uses less digits than its factorization.

72063600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 72063600 is about 8489.0282129346. The cubic root of 72063600 is about 416.1392223856.

Adding to 72063600 its reverse (636027), we get a palindrome (72699627).

The spelling of 72063600 in words is "seventy-two million, sixty-three thousand, six hundred".