72015006 has 48 divisors (see below), whose sum is σ = 168239376. Its totient is φ = 20490624.

The previous prime is 72014989. The next prime is 72015029. The reversal of 72015006 is 60051027.

It is a super-2 number, since 2×72015006² = 10372322178360072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116410 + ... + 117026.

It is an arithmetic number, because the mean of its divisors is an integer number (3504987).

Almost surely, 2^72015006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72015006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84119688).

72015006 is an abundant number, since it is smaller than the sum of its proper divisors (96224370).

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

72015006 is a wasteful number, since it uses less digits than its factorization.

72015006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1033 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 72015006 is about 8486.1655652008. The cubic root of 72015006 is about 416.0456642119.

The spelling of 72015006 in words is "seventy-two million, fifteen thousand, six".