72687150505200 has 1440 divisors, whose sum is σ = 315789513677568. Its totient is φ = 14082281472000.

The previous prime is 72687150505199. The next prime is 72687150505223. The reversal of 72687150505200 is 250505178627.

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

It is a self number, because there is not a number n which added to its sum of digits gives 72687150505200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1176498310 + ... + 1176560090.

Almost surely, 2^{72687150505200} is an apocalyptic number.

72687150505200 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 72687150505200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157894756838784).

72687150505200 is an abundant number, since it is smaller than the sum of its proper divisors (243102363172368).

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

72687150505200 is a wasteful number, since it uses less digits than its factorization.

72687150505200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61951 (or 61933 counting only the distinct ones).

The product of its (nonzero) digits is 1176000, while the sum is 48.

The spelling of 72687150505200 in words is "seventy-two trillion, six hundred eighty-seven billion, one hundred fifty million, five hundred five thousand, two hundred".