72754200 has 168 divisors, whose sum is σ = 254122500. Its totient is φ = 19362240.

The previous prime is 72754193. The next prime is 72754219. The reversal of 72754200 is 245727.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 145551 + ... + 146049.

Almost surely, 2^72754200 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 72754200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127061250).

72754200 is an abundant number, since it is smaller than the sum of its proper divisors (181368300).

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

72754200 is a wasteful number, since it uses less digits than its factorization.

72754200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 72754200 is about 8529.6072594229. The cubic root of 72754200 is about 417.4643138250.

Adding to 72754200 its reverse (245727), we get a palindrome (72999927).

The spelling of 72754200 in words is "seventy-two million, seven hundred fifty-four thousand, two hundred".