72427500 has 240 divisors, whose sum is σ = 249295200. Its totient is φ = 18144000.

The previous prime is 72427499. The next prime is 72427513. The reversal of 72427500 is 572427.

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

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 1957482 + ... + 1957518.

It is an arithmetic number, because the mean of its divisors is an integer number (1038730).

Almost surely, 2^72427500 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 72427500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124647600).

72427500 is an abundant number, since it is smaller than the sum of its proper divisors (176867700).

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

72427500 is a wasteful number, since it uses less digits than its factorization.

72427500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 76 counting only the distinct ones).

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

The square root of 72427500 is about 8510.4347715026. The cubic root of 72427500 is about 416.8385068983.

Adding to 72427500 its reverse (572427), we get a palindrome (72999927).

It can be divided in two parts, 72427 and 500, that added together give a palindrome (72927).

The spelling of 72427500 in words is "seventy-two million, four hundred twenty-seven thousand, five hundred".