72489081600 has 1296 divisors, whose sum is σ = 304149734560. Its totient is φ = 16787865600.

The previous prime is 72489081589. The next prime is 72489081629. The reversal of 72489081600 is 618098427.

72489081600 is a `hidden beast` number, since 7 + 2 + 489 + 0 + 8 + 160 + 0 = 666.

It is a super-2 number, since 2×72489081600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 1188345570 + ... + 1188345630.

Almost surely, 2^72489081600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72489081600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152074867280).

72489081600 is an abundant number, since it is smaller than the sum of its proper divisors (231660652960).

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

72489081600 is a wasteful number, since it uses less digits than its factorization.

72489081600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 72489081600 in words is "seventy-two billion, four hundred eighty-nine million, eighty-one thousand, six hundred".