72416825020800 has 4608 divisors, whose sum is σ = 322142131584000. Its totient is φ = 15986719457280.

The previous prime is 72416825020769. The next prime is 72416825020817. The reversal of 72416825020800 is 802052861427.

72416825020800 is a `hidden beast` number, since 7 + 2 + 4 + 1 + 68 + 2 + 502 + 0 + 80 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 746565206352 + ... + 746565206448.

It is an arithmetic number, because the mean of its divisors is an integer number (69909316750).

Almost surely, 2^{72416825020800} 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 72416825020800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161071065792000).

72416825020800 is an abundant number, since it is smaller than the sum of its proper divisors (249725306563200).

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

72416825020800 is a wasteful number, since it uses less digits than its factorization.

72416825020800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 72416825020800 in words is "seventy-two trillion, four hundred sixteen billion, eight hundred twenty-five million, twenty thousand, eight hundred".