72101348802 has 64 divisors (see below), whose sum is σ = 186851616000. Its totient is φ = 20600380080.

The previous prime is 72101348801. The next prime is 72101348833. The reversal of 72101348802 is 20884310127.

72101348802 is a `hidden beast` number, since 72 + 101 + 3 + 488 + 0 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (72101348801) 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, 1927849 + ... + 1964892.

It is an arithmetic number, because the mean of its divisors is an integer number (2919556500).

Almost surely, 2^72101348802 is an apocalyptic number.

72101348802 is an abundant number, since it is smaller than the sum of its proper divisors (114750267198).

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

72101348802 is a wasteful number, since it uses less digits than its factorization.

72101348802 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3892773 (or 3892753 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

Adding to 72101348802 its reverse (20884310127), we get a palindrome (92985658929).

It can be divided in two parts, 72101 and 348802, that added together give a triangular number (420903 = T₉₁₇).

The spelling of 72101348802 in words is "seventy-two billion, one hundred one million, three hundred forty-eight thousand, eight hundred two".