72668534400 has 1440 divisors, whose sum is σ = 337883478240. Its totient is φ = 15054336000.

The previous prime is 72668534387. The next prime is 72668534437. The reversal of 72668534400 is 443586627.

72668534400 is a `hidden beast` number, since 72 + 6 + 6 + 8 + 534 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 179 ways as a sum of consecutive naturals, for example, 219542235 + ... + 219542565.

Almost surely, 2^72668534400 is an apocalyptic number.

72668534400 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 72668534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168941739120).

72668534400 is an abundant number, since it is smaller than the sum of its proper divisors (265214943840).

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

72668534400 is a wasteful number, since it uses less digits than its factorization.

72668534400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 72668534400 in words is "seventy-two billion, six hundred sixty-eight million, five hundred thirty-four thousand, four hundred".