72144149040 has 160 divisors (see below), whose sum is σ = 248608939200. Its totient is φ = 19229736960.

The previous prime is 72144149029. The next prime is 72144149107. The reversal of 72144149040 is 4094144127.

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 = 72144148986 and 72144149004.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5802030 + ... + 5814450.

It is an arithmetic number, because the mean of its divisors is an integer number (1553805870).

Almost surely, 2^72144149040 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 72144149040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124304469600).

72144149040 is an abundant number, since it is smaller than the sum of its proper divisors (176464790160).

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

72144149040 is a wasteful number, since it uses less digits than its factorization.

72144149040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15132 (or 15120 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 72144149040 in words is "seventy-two billion, one hundred forty-four million, one hundred forty-nine thousand, forty".