72100784 has 40 divisors (see below), whose sum is σ = 161918208. Its totient is φ = 30461760.

The previous prime is 72100783. The next prime is 72100789. The reversal of 72100784 is 48700127.

It is not an unprimeable number, because it can be changed into a prime (72100783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3419 + ... + 12485.

Almost surely, 2^72100784 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 72100784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80959104).

72100784 is an abundant number, since it is smaller than the sum of its proper divisors (89817424).

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

72100784 is a wasteful number, since it uses less digits than its factorization.

72100784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9153 (or 9147 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 29.

The square root of 72100784 is about 8491.2180516107. The cubic root of 72100784 is about 416.2107844511.

The spelling of 72100784 in words is "seventy-two million, one hundred thousand, seven hundred eighty-four".