72191412 has 84 divisors (see below), whose sum is σ = 199538080. Its totient is φ = 22779792.

The previous prime is 72191407. The next prime is 72191461. The reversal of 72191412 is 21419127.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 27 ways as a sum of consecutive naturals, for example, 54753 + ... + 56055.

Almost surely, 2^72191412 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 72191412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99769040).

72191412 is an abundant number, since it is smaller than the sum of its proper divisors (127346668).

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

72191412 is a wasteful number, since it uses less digits than its factorization.

72191412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1344 (or 1327 counting only the distinct ones).

The product of its digits is 1008, while the sum is 27.

The square root of 72191412 is about 8496.5529481078. The cubic root of 72191412 is about 416.3850985872.

The spelling of 72191412 in words is "seventy-two million, one hundred ninety-one thousand, four hundred twelve".