72358461 has 32 divisors (see below), whose sum is σ = 123275520. Its totient is φ = 41090112.

The previous prime is 72358457. The next prime is 72358469. The reversal of 72358461 is 16485327.

72358461 is a `hidden beast` number, since 72 + 3 + 584 + 6 + 1 = 666.

It is not a de Polignac number, because 72358461 - 2² = 72358457 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72358469) 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 31 ways as a sum of consecutive naturals, for example, 31591 + ... + 33803.

It is an arithmetic number, because the mean of its divisors is an integer number (3852360).

Almost surely, 2^72358461 is an apocalyptic number.

It is an amenable number.

72358461 is a deficient number, since it is larger than the sum of its proper divisors (50917059).

72358461 is a wasteful number, since it uses less digits than its factorization.

72358461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2402 (or 2396 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 72358461 is about 8506.3776661985. The cubic root of 72358461 is about 416.7060191810.

The spelling of 72358461 in words is "seventy-two million, three hundred fifty-eight thousand, four hundred sixty-one".