72438684326400 has 960 divisors, whose sum is σ = 278889143309568. Its totient is φ = 16230603816960.

The previous prime is 72438684326369. The next prime is 72438684326419. The reversal of 72438684326400 is 462348683427.

It is a tau number, because it is divible by the number of its divisors (960).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31869195664 + ... + 31869197936.

Almost surely, 2^{72438684326400} is an apocalyptic number.

72438684326400 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72438684326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139444571654784).

72438684326400 is an abundant number, since it is smaller than the sum of its proper divisors (206450458983168).

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

72438684326400 is a wasteful number, since it uses less digits than its factorization.

72438684326400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4601 (or 4580 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 57.

The spelling of 72438684326400 in words is "seventy-two trillion, four hundred thirty-eight billion, six hundred eighty-four million, three hundred twenty-six thousand, four hundred".