72954417 has 16 divisors (see below), whose sum is σ = 101319552. Its totient is φ = 46650240.

The previous prime is 72954407. The next prime is 72954437. The reversal of 72954417 is 71445927.

It is not a de Polignac number, because 72954417 - 2²² = 68760113 is a prime.

It is a zygodrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (72954407) 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 15 ways as a sum of consecutive naturals, for example, 3253 + ... + 12509.

It is an arithmetic number, because the mean of its divisors is an integer number (6332472).

Almost surely, 2^72954417 is an apocalyptic number.

It is an amenable number.

72954417 is a deficient number, since it is larger than the sum of its proper divisors (28365135).

72954417 is a wasteful number, since it uses less digits than its factorization.

72954417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9368.

The product of its digits is 70560, while the sum is 39.

The square root of 72954417 is about 8541.3357854612. The cubic root of 72954417 is about 417.8469121108.

The spelling of 72954417 in words is "seventy-two million, nine hundred fifty-four thousand, four hundred seventeen".