72007464 has 64 divisors (see below), whose sum is σ = 187387200. Its totient is φ = 23030784.

The previous prime is 72007459. The next prime is 72007487. The reversal of 72007464 is 46470027.

It is a super-2 number, since 2×72007464² = 10370149743422592, which contains 22 as substring.

It is an unprimeable number.

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, 213504 + ... + 213840.

It is an arithmetic number, because the mean of its divisors is an integer number (2927925).

Almost surely, 2^72007464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72007464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93693600).

72007464 is an abundant number, since it is smaller than the sum of its proper divisors (115379736).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72007464 is a wasteful number, since it uses less digits than its factorization.

72007464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 678 counting only the distinct ones).

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

The square root of 72007464 is about 8485.7211832584. The cubic root of 72007464 is about 416.0311398041.

The spelling of 72007464 in words is "seventy-two million, seven thousand, four hundred sixty-four".