72191944 has 32 divisors (see below), whose sum is σ = 155440800. Its totient is φ = 31086720.

The previous prime is 72191927. The next prime is 72191947. The reversal of 72191944 is 44919127.

It is not an unprimeable number, because it can be changed into a prime (72191947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19917 + ... + 23260.

It is an arithmetic number, because the mean of its divisors is an integer number (4857525).

Almost surely, 2^72191944 is an apocalyptic number.

It is an amenable number.

72191944 is an abundant number, since it is smaller than the sum of its proper divisors (83248856).

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

72191944 is a wasteful number, since it uses less digits than its factorization.

72191944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43213 (or 43209 counting only the distinct ones).

The product of its digits is 18144, while the sum is 37.

The square root of 72191944 is about 8496.5842548638. The cubic root of 72191944 is about 416.3861214066.

It can be divided in two parts, 721 and 91944, that added together give a triangular number (92665 = T₄₃₀).

The spelling of 72191944 in words is "seventy-two million, one hundred ninety-one thousand, nine hundred forty-four".