72464007 has 48 divisors (see below), whose sum is σ = 126137088. Its totient is φ = 35946240.

The previous prime is 72463997. The next prime is 72464017. The reversal of 72464007 is 70046427.

It is an interprime number because it is at equal distance from previous prime (72463997) and next prime (72464017).

It is not a de Polignac number, because 72464007 - 2⁶ = 72463943 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72464017) 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 47 ways as a sum of consecutive naturals, for example, 121903 + ... + 122495.

It is an arithmetic number, because the mean of its divisors is an integer number (2627856).

Almost surely, 2^72464007 is an apocalyptic number.

72464007 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

72464007 is a deficient number, since it is larger than the sum of its proper divisors (53673081).

72464007 is a wasteful number, since it uses less digits than its factorization.

72464007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 30.

The square root of 72464007 is about 8512.5793388373. The cubic root of 72464007 is about 416.9085307948.

The spelling of 72464007 in words is "seventy-two million, four hundred sixty-four thousand, seven".