72144600 has 192 divisors, whose sum is σ = 258733440. Its totient is φ = 16435200.

The previous prime is 72144587. The next prime is 72144613. The reversal of 72144600 is 644127.

It is an interprime number because it is at equal distance from previous prime (72144587) and next prime (72144613).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 111879 + ... + 112521.

It is an arithmetic number, because the mean of its divisors is an integer number (1347570).

Almost surely, 2^72144600 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 72144600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129366720).

72144600 is an abundant number, since it is smaller than the sum of its proper divisors (186588840).

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

72144600 is a wasteful number, since it uses less digits than its factorization.

72144600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 72144600 is about 8493.7977371727. The cubic root of 72144600 is about 416.2950784896.

Adding to 72144600 its reverse (644127), we get a palindrome (72788727).

The spelling of 72144600 in words is "seventy-two million, one hundred forty-four thousand, six hundred".