72527405300 has 144 divisors (see below), whose sum is σ = 182728221312. Its totient is φ = 24472627200.

The previous prime is 72527405297. The next prime is 72527405323. The reversal of 72527405300 is 350472527.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28768040 + ... + 28770560.

Almost surely, 2^72527405300 is an apocalyptic number.

72527405300 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 72527405300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91364110656).

72527405300 is an abundant number, since it is smaller than the sum of its proper divisors (110200816012).

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

72527405300 is a wasteful number, since it uses less digits than its factorization.

72527405300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3178 (or 3171 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 35.

Adding to 72527405300 its reverse (350472527), we get a palindrome (72877877827).

The spelling of 72527405300 in words is "seventy-two billion, five hundred twenty-seven million, four hundred five thousand, three hundred".