72147744 has 72 divisors (see below), whose sum is σ = 208288080. Its totient is φ = 23683968.

The previous prime is 72147709. The next prime is 72147749. The reversal of 72147744 is 44774127.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 72147699 and 72147708.

It is not an unprimeable number, because it can be changed into a prime (72147749) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17427 + ... + 21165.

It is an arithmetic number, because the mean of its divisors is an integer number (2892890).

Almost surely, 2^72147744 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 72147744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104144040).

72147744 is an abundant number, since it is smaller than the sum of its proper divisors (136140336).

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

72147744 is a wasteful number, since it uses less digits than its factorization.

72147744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3822 (or 3811 counting only the distinct ones).

The product of its digits is 43904, while the sum is 36.

The square root of 72147744 is about 8493.9828113789. The cubic root of 72147744 is about 416.3011256630.

The spelling of 72147744 in words is "seventy-two million, one hundred forty-seven thousand, seven hundred forty-four".