72507006 has 96 divisors (see below), whose sum is σ = 195537888. Its totient is φ = 19077120.

The previous prime is 72506981. The next prime is 72507011. The reversal of 72507006 is 60070527.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42930 + ... + 44586.

It is an arithmetic number, because the mean of its divisors is an integer number (2036853).

Almost surely, 2^72507006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72507006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97768944).

72507006 is an abundant number, since it is smaller than the sum of its proper divisors (123030882).

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

72507006 is a wasteful number, since it uses less digits than its factorization.

72507006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1706 (or 1703 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 72507006 is about 8515.1045795105. The cubic root of 72507006 is about 416.9909768073.

The spelling of 72507006 in words is "seventy-two million, five hundred seven thousand, six".