72511200 has 216 divisors, whose sum is σ = 265873608. Its totient is φ = 19284480.

The previous prime is 72511193. The next prime is 72511213. The reversal of 72511200 is 211527.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 194214 + ... + 194586.

Almost surely, 2^72511200 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 72511200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132936804).

72511200 is an abundant number, since it is smaller than the sum of its proper divisors (193362408).

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

72511200 is a wasteful number, since it uses less digits than its factorization.

72511200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 72511200 is about 8515.3508442107. The cubic root of 72511200 is about 416.9990166117. Note that the first 3 decimals are identical.

Adding to 72511200 its reverse (211527), we get a palindrome (72722727).

The spelling of 72511200 in words is "seventy-two million, five hundred eleven thousand, two hundred".