72250500 has 144 divisors (see below), whose sum is σ = 244992384. Its totient is φ = 16497600.

The previous prime is 72250489. The next prime is 72250517. The reversal of 72250500 is 505227.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73009 + ... + 73991.

It is an arithmetic number, because the mean of its divisors is an integer number (1701336).

Almost surely, 2^72250500 is an apocalyptic number.

72250500 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 72250500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122496192).

72250500 is an abundant number, since it is smaller than the sum of its proper divisors (172741884).

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

72250500 is a wasteful number, since it uses less digits than its factorization.

72250500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 21.

The square root of 72250500 is about 8500.0294117138. The cubic root of 72250500 is about 416.4986700520.

Adding to 72250500 its reverse (505227), we get a palindrome (72755727).

The spelling of 72250500 in words is "seventy-two million, two hundred fifty thousand, five hundred".