72699346944000 has 2208 divisors, whose sum is σ = 313566934966272. Its totient is φ = 15854469120000.

The previous prime is 72699346943831. The next prime is 72699346944079. The reversal of 72699346944000 is 44964399627.

72699346944000 is a `hidden beast` number, since 7 + 2 + 69 + 93 + 46 + 9 + 440 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1023934463965 + ... + 1023934464035.

Almost surely, 2^{72699346944000} is an apocalyptic number.

72699346944000 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 72699346944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156783467483136).

72699346944000 is an abundant number, since it is smaller than the sum of its proper divisors (240867588022272).

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

72699346944000 is an frugal number, since it uses more digits than its factorization.

72699346944000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 70543872, while the sum is 63.

The spelling of 72699346944000 in words is "seventy-two trillion, six hundred ninety-nine billion, three hundred forty-six million, nine hundred forty-four thousand".