72864407 has 8 divisors (see below), whose sum is σ = 90844032. Its totient is φ = 56777400.

The previous prime is 72864401. The next prime is 72864461. The reversal of 72864407 is 70446827.

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

It is a cyclic number.

It is not a de Polignac number, because 72864407 - 2⁸ = 72864151 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72864401) 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, 473069 + ... + 473222.

It is an arithmetic number, because the mean of its divisors is an integer number (11355504).

Almost surely, 2^72864407 is an apocalyptic number.

72864407 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

72864407 is a deficient number, since it is larger than the sum of its proper divisors (17979625).

72864407 is a wasteful number, since it uses less digits than its factorization.

72864407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946309.

The product of its (nonzero) digits is 75264, while the sum is 38.

The square root of 72864407 is about 8536.0650770715. The cubic root of 72864407 is about 417.6749970968.

The spelling of 72864407 in words is "seventy-two million, eight hundred sixty-four thousand, four hundred seven".