72416511 has 40 divisors (see below), whose sum is σ = 112963664. Its totient is φ = 46189440.

The previous prime is 72416507. The next prime is 72416557. The reversal of 72416511 is 11561427.

It is a happy number.

72416511 is a `hidden beast` number, since 7 + 2 + 4 + 1 + 651 + 1 = 666.

It is not a de Polignac number, because 72416511 - 2² = 72416507 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72416501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 218616 + ... + 218946.

Almost surely, 2^72416511 is an apocalyptic number.

72416511 is a deficient number, since it is larger than the sum of its proper divisors (40547153).

72416511 is a wasteful number, since it uses less digits than its factorization.

72416511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 444 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 72416511 is about 8509.7891278221. The cubic root of 72416511 is about 416.8174243443.

Adding to 72416511 its reverse (11561427), we get a palindrome (83977938).

It can be divided in two parts, 72416 and 511, that added together give a palindrome (72927).

The spelling of 72416511 in words is "seventy-two million, four hundred sixteen thousand, five hundred eleven".