72669792240 has 120 divisors (see below), whose sum is σ = 244214556768. Its totient is φ = 19365496320.

The previous prime is 72669792199. The next prime is 72669792241. The reversal of 72669792240 is 4229796627.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×72669792240³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72669792241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1054522 + ... + 1121318.

Almost surely, 2^72669792240 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 72669792240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122107278384).

72669792240 is an abundant number, since it is smaller than the sum of its proper divisors (171544764528).

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

72669792240 is a wasteful number, since it uses less digits than its factorization.

72669792240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68327 (or 68318 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 72669792240 in words is "seventy-two billion, six hundred sixty-nine million, seven hundred ninety-two thousand, two hundred forty".