72225878747832 has 128 divisors (see below), whose sum is σ = 201324159993600. Its totient is φ = 23991696457344.

The previous prime is 72225878747809. The next prime is 72225878747833. The reversal of 72225878747832 is 23874787852227.

72225878747832 is a `hidden beast` number, since 7 + 2 + 2 + 2 + 58 + 78 + 7 + 478 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72225878747833) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1925645223 + ... + 1925682729.

It is an arithmetic number, because the mean of its divisors is an integer number (1572844999950).

Almost surely, 2^{72225878747832} is an apocalyptic number.

72225878747832 is a gapful number since it is divisible by the number (72) 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 72225878747832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100662079996800).

72225878747832 is an abundant number, since it is smaller than the sum of its proper divisors (129098281245768).

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

72225878747832 is a wasteful number, since it uses less digits than its factorization.

72225878747832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68242 (or 68232 counting only the distinct ones).

The product of its digits is 1180139520, while the sum is 72.

The spelling of 72225878747832 in words is "seventy-two trillion, two hundred twenty-five billion, eight hundred seventy-eight million, seven hundred forty-seven thousand, eight hundred thirty-two".