72412791 has 8 divisors (see below), whose sum is σ = 105327744. Its totient is φ = 43886520.

The previous prime is 72412751. The next prime is 72412793. The reversal of 72412791 is 19721427.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 72412791 - 2⁶ = 72412727 is a prime.

It is a super-3 number, since 3×72412791³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (33), and also a Moran number because the ratio is a prime number: 2194327 = 72412791 / (7 + 2 + 4 + 1 + 2 + 7 + 9 + 1).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72412793) 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, 1097131 + ... + 1097196.

It is an arithmetic number, because the mean of its divisors is an integer number (13165968).

Almost surely, 2^72412791 is an apocalyptic number.

72412791 is a deficient number, since it is larger than the sum of its proper divisors (32914953).

72412791 is a wasteful number, since it uses less digits than its factorization.

72412791 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2194341.

The product of its digits is 7056, while the sum is 33.

The square root of 72412791 is about 8509.5705532065. The cubic root of 72412791 is about 416.8102869878.

The spelling of 72412791 in words is "seventy-two million, four hundred twelve thousand, seven hundred ninety-one".