72135000 has 240 divisors, whose sum is σ = 280222800. Its totient is φ = 16416000.

The previous prime is 72134999. The next prime is 72135053. The reversal of 72135000 is 53127.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 59 ways as a sum of consecutive naturals, for example, 314886 + ... + 315114.

It is an arithmetic number, because the mean of its divisors is an integer number (1167595).

Almost surely, 2^72135000 is an apocalyptic number.

72135000 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 72135000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140111400).

72135000 is an abundant number, since it is smaller than the sum of its proper divisors (208087800).

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

72135000 is a wasteful number, since it uses less digits than its factorization.

72135000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 72135000 is about 8493.2326001352. The cubic root of 72135000 is about 416.2766127508.

Adding to 72135000 its reverse (53127), we get a palindrome (72188127).

It can be divided in two parts, 721 and 35000, that added together give a square (35721 = 189²).

The spelling of 72135000 in words is "seventy-two million, one hundred thirty-five thousand".