72323474034100 has 36 divisors (see below), whose sum is σ = 159903107319564. Its totient is φ = 28383552071680.

The previous prime is 72323474034079. The next prime is 72323474034103. The reversal of 72323474034100 is 143047432327.

It can be written as a sum of positive squares in 6 ways, for example, as 605000841124 + 71718473192976 = 777818^2 + 8468676^2 .

It is a super-2 number, since 2×72323474034100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72323474034103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6822963949 + ... + 6822974548.

It is an arithmetic number, because the mean of its divisors is an integer number (4441752981099).

Almost surely, 2^{72323474034100} is an apocalyptic number.

It is an amenable number.

72323474034100 is an abundant number, since it is smaller than the sum of its proper divisors (87579633285464).

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

72323474034100 is a wasteful number, since it uses less digits than its factorization.

72323474034100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13645938564 (or 13645938557 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 40.

The spelling of 72323474034100 in words is "seventy-two trillion, three hundred twenty-three billion, four hundred seventy-four million, thirty-four thousand, one hundred".