72465661800 has 1344 divisors, whose sum is σ = 315193219200. Its totient is φ = 15116544000.

The previous prime is 72465661787. The next prime is 72465661841. The reversal of 72465661800 is 816656427.

72465661800 is a `hidden beast` number, since 7 + 2 + 4 + 6 + 566 + 1 + 80 + 0 = 666.

It is a super-2 number, since 2×72465661800² (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 an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 717481750 + ... + 717481850.

Almost surely, 2^72465661800 is an apocalyptic number.

72465661800 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 72465661800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157596609600).

72465661800 is an abundant number, since it is smaller than the sum of its proper divisors (242727557400).

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

72465661800 is a wasteful number, since it uses less digits than its factorization.

72465661800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 72465661800 in words is "seventy-two billion, four hundred sixty-five million, six hundred sixty-one thousand, eight hundred".