73269540144 has 200 divisors, whose sum is σ = 214639722000. Its totient is φ = 24127870464.

The previous prime is 73269540083. The next prime is 73269540173. The reversal of 73269540144 is 44104596237.

73269540144 is a `hidden beast` number, since 7 + 3 + 2 + 69 + 540 + 1 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 73269540144.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 71902867 + ... + 71903885.

It is an arithmetic number, because the mean of its divisors is an integer number (1073198610).

Almost surely, 2^73269540144 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 73269540144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107319861000).

73269540144 is an abundant number, since it is smaller than the sum of its proper divisors (141370181856).

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

73269540144 is a wasteful number, since it uses less digits than its factorization.

73269540144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1657 (or 1642 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 73269540144 in words is "seventy-three billion, two hundred sixty-nine million, five hundred forty thousand, one hundred forty-four".