72466695360 has 280 divisors, whose sum is σ = 258088887936. Its totient is φ = 19301068800.

The previous prime is 72466695331. The next prime is 72466695373. The reversal of 72466695360 is 6359666427.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 72466695297 and 72466695306.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 37142385 + ... + 37144335.

Almost surely, 2^72466695360 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 72466695360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129044443968).

72466695360 is an abundant number, since it is smaller than the sum of its proper divisors (185622192576).

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

72466695360 is a wasteful number, since it uses less digits than its factorization.

72466695360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3413 (or 3394 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 72466695360 in words is "seventy-two billion, four hundred sixty-six million, six hundred ninety-five thousand, three hundred sixty".