72100493416 has 32 divisors (see below), whose sum is σ = 156617519040. Its totient is φ = 30476919168.

The previous prime is 72100493407. The next prime is 72100493417. The reversal of 72100493416 is 61439400127.

It is not an unprimeable number, because it can be changed into a prime (72100493417) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8814466 + ... + 8822641.

It is an arithmetic number, because the mean of its divisors is an integer number (4894297470).

Almost surely, 2^72100493416 is an apocalyptic number.

It is an amenable number.

72100493416 is an abundant number, since it is smaller than the sum of its proper divisors (84517025624).

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

72100493416 is a wasteful number, since it uses less digits than its factorization.

72100493416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17637193 (or 17637189 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

It can be divided in two parts, 72100 and 493416, that added together give a triangular number (565516 = T₁₀₆₃).

The spelling of 72100493416 in words is "seventy-two billion, one hundred million, four hundred ninety-three thousand, four hundred sixteen".