72431226720 has 144 divisors (see below), whose sum is σ = 247242445632. Its totient is φ = 19309455360.

The previous prime is 72431226667. The next prime is 72431226727. The reversal of 72431226720 is 2762213427.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72431226727) 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, 8496060 + ... + 8504580.

It is an arithmetic number, because the mean of its divisors is an integer number (1716961428).

Almost surely, 2^72431226720 is an apocalyptic number.

It is an amenable number.

72431226720 is an abundant number, since it is smaller than the sum of its proper divisors (174811218912).

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

72431226720 is a wasteful number, since it uses less digits than its factorization.

72431226720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14445 (or 14434 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

It can be divided in two parts, 72431 and 226720, that added together give a triangular number (299151 = T₇₇₃).

The spelling of 72431226720 in words is "seventy-two billion, four hundred thirty-one million, two hundred twenty-six thousand, seven hundred twenty".