72967865241600 has 1872 divisors, whose sum is σ = 304255698888960. Its totient is φ = 16370683084800.

The previous prime is 72967865241599. The next prime is 72967865241671. The reversal of 72967865241600 is 614256876927.

72967865241600 is a `hidden beast` number, since 7 + 2 + 96 + 7 + 8 + 6 + 524 + 16 + 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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 95884185220 + ... + 95884185980.

It is an arithmetic number, because the mean of its divisors is an integer number (162529753680).

Almost surely, 2^{72967865241600} is an apocalyptic number.

72967865241600 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 72967865241600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152127849444480).

72967865241600 is an abundant number, since it is smaller than the sum of its proper divisors (231287833647360).

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

72967865241600 is a wasteful number, since it uses less digits than its factorization.

72967865241600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 72967865241600 in words is "seventy-two trillion, nine hundred sixty-seven billion, eight hundred sixty-five million, two hundred forty-one thousand, six hundred".