72704500243200 has 1296 divisors, whose sum is σ = 301410629485056. Its totient is φ = 16376861491200.

The previous prime is 72704500243093. The next prime is 72704500243237. The reversal of 72704500243200 is 234200540727.

It is a happy number.

72704500243200 is a `hidden beast` number, since 7 + 270 + 45 + 0 + 0 + 24 + 320 + 0 = 666.

It is a super-2 number, since 2×72704500243200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 8762741452 + ... + 8762749748.

Almost surely, 2^{72704500243200} is an apocalyptic number.

72704500243200 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 72704500243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150705314742528).

72704500243200 is an abundant number, since it is smaller than the sum of its proper divisors (228706129241856).

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

72704500243200 is a wasteful number, since it uses less digits than its factorization.

72704500243200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8650 (or 8628 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 36.

Adding to 72704500243200 its reverse (234200540727), we get a palindrome (72938700783927).

The spelling of 72704500243200 in words is "seventy-two trillion, seven hundred four billion, five hundred million, two hundred forty-three thousand, two hundred".