72544402461300 has 288 divisors, whose sum is σ = 262145788929024. Its totient is φ = 15047759232000.

The previous prime is 72544402461283. The next prime is 72544402461329. The reversal of 72544402461300 is 316420444527.

It is a happy number.

It is a super-3 number, since 3×72544402461300³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10440144 + ... + 15940056.

Almost surely, 2^{72544402461300} is an apocalyptic number.

72544402461300 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 72544402461300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131072894464512).

72544402461300 is an abundant number, since it is smaller than the sum of its proper divisors (189601386467724).

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

72544402461300 is a wasteful number, since it uses less digits than its factorization.

72544402461300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5500519 (or 5500512 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 42.

The spelling of 72544402461300 in words is "seventy-two trillion, five hundred forty-four billion, four hundred two million, four hundred sixty-one thousand, three hundred".