72416049 has 16 divisors (see below), whose sum is σ = 103802880. Its totient is φ = 44761680.

The previous prime is 72416041. The next prime is 72416051. The reversal of 72416049 is 94061427.

It is a happy number.

It is not a de Polignac number, because 72416049 - 2³ = 72416041 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72416041) 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 15 ways as a sum of consecutive naturals, for example, 10837 + ... + 16194.

It is an arithmetic number, because the mean of its divisors is an integer number (6487680).

Almost surely, 2^72416049 is an apocalyptic number.

It is an amenable number.

72416049 is a deficient number, since it is larger than the sum of its proper divisors (31386831).

72416049 is a wasteful number, since it uses less digits than its factorization.

72416049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27100.

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 72416049 is about 8509.7619825704. The cubic root of 72416049 is about 416.8165379440.

The spelling of 72416049 in words is "seventy-two million, four hundred sixteen thousand, forty-nine".