72812500 has 48 divisors (see below), whose sum is σ = 159960528. Its totient is φ = 29000000.

The previous prime is 72812491. The next prime is 72812507. The reversal of 72812500 is 521827.

It can be written as a sum of positive squares in 8 ways, for example, as 45751696 + 27060804 = 6764^2 + 5202^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72812507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 312384 + ... + 312616.

It is an arithmetic number, because the mean of its divisors is an integer number (3332511).

Almost surely, 2^72812500 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 72812500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79980264).

72812500 is an abundant number, since it is smaller than the sum of its proper divisors (87148028).

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

72812500 is an frugal number, since it uses more digits than its factorization.

72812500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 25.

The square root of 72812500 is about 8533.0240829380. The cubic root of 72812500 is about 417.5757927107.

The spelling of 72812500 in words is "seventy-two million, eight hundred twelve thousand, five hundred".