72750208 has 64 divisors (see below), whose sum is σ = 156060000. Its totient is φ = 33656832.

The previous prime is 72750203. The next prime is 72750269. The reversal of 72750208 is 80205727.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×72750208³ (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 72750208.

It is not an unprimeable number, because it can be changed into a prime (72750203) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 145543 + ... + 146041.

Almost surely, 2^72750208 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 72750208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78030000).

72750208 is an abundant number, since it is smaller than the sum of its proper divisors (83309792).

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

72750208 is a wasteful number, since it uses less digits than its factorization.

72750208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 31.

The square root of 72750208 is about 8529.3732477832. The cubic root of 72750208 is about 417.4566783070.

The spelling of 72750208 in words is "seventy-two million, seven hundred fifty thousand, two hundred eight".