72630618332160 has 704 divisors, whose sum is σ = 266779792548864. Its totient is φ = 16520852275200.

The previous prime is 72630618332159. The next prime is 72630618332183. The reversal of 72630618332160 is 6123381603627.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44806056150 + ... + 44806057770.

Almost surely, 2^{72630618332160} is an apocalyptic number.

72630618332160 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 72630618332160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133389896274432).

72630618332160 is an abundant number, since it is smaller than the sum of its proper divisors (194149174216704).

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

72630618332160 is a wasteful number, since it uses less digits than its factorization.

72630618332160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3420 (or 3402 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 48.

Adding to 72630618332160 its reverse (6123381603627), we get a palindrome (78753999935787).

The spelling of 72630618332160 in words is "seventy-two trillion, six hundred thirty billion, six hundred eighteen million, three hundred thirty-two thousand, one hundred sixty".