72463349424 has 320 divisors, whose sum is σ = 207346728960. Its totient is φ = 21727779840.

The previous prime is 72463349351. The next prime is 72463349461. The reversal of 72463349424 is 42494336427.

It is a super-2 number, since 2×72463349424² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 379389169 + ... + 379389359.

It is an arithmetic number, because the mean of its divisors is an integer number (647958528).

Almost surely, 2^72463349424 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 72463349424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103673364480).

72463349424 is an abundant number, since it is smaller than the sum of its proper divisors (134883379536).

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

72463349424 is a wasteful number, since it uses less digits than its factorization.

72463349424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 482 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 48.

The spelling of 72463349424 in words is "seventy-two billion, four hundred sixty-three million, three hundred forty-nine thousand, four hundred twenty-four".