72467355226176 has 693 divisors, whose sum is σ = 224886138504573. Its totient is φ = 23168371161600.

The previous prime is 72467355226153. The next prime is 72467355226181. The reversal of 72467355226176 is 67162255376427.

The square root of 72467355226176 is 8512776.

It is a perfect power (a square), and thus also a powerful number.

72467355226176 is a `hidden beast` number, since 7 + 2 + 4 + 6 + 7 + 3 + 5 + 5 + 2 + 2 + 617 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 38000123251776 + 34467231974400 = 6164424^2 + 5870880^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 98 ways as a sum of consecutive naturals, for example, 479916259701 + ... + 479916259851.

Almost surely, 2^{72467355226176} is an apocalyptic number.

72467355226176 is the 8512776-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72467355226176

72467355226176 is an abundant number, since it is smaller than the sum of its proper divisors (152418783278397).

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

72467355226176 is an frugal number, since it uses more digits than its factorization.

72467355226176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 185 counting only the distinct ones).

The product of its digits is 177811200, while the sum is 63.

The spelling of 72467355226176 in words is "seventy-two trillion, four hundred sixty-seven billion, three hundred fifty-five million, two hundred twenty-six thousand, one hundred seventy-six".