72434580480 has 220 divisors, whose sum is σ = 259566068520. Its totient is φ = 19315777536.

The previous prime is 72434580457. The next prime is 72434580511. The reversal of 72434580480 is 8408543427.

It is a happy number.

72434580480 is a `hidden beast` number, since 7 + 24 + 3 + 4 + 580 + 48 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 327391 + ... + 502049.

It is an arithmetic number, because the mean of its divisors is an integer number (1179845766).

Almost surely, 2^72434580480 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 72434580480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129783034260).

72434580480 is an abundant number, since it is smaller than the sum of its proper divisors (187131488040).

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

72434580480 is a wasteful number, since it uses less digits than its factorization.

72434580480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174696 (or 174669 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 72434580480 in words is "seventy-two billion, four hundred thirty-four million, five hundred eighty thousand, four hundred eighty".