72006420 has 72 divisors (see below), whose sum is σ = 208956384. Its totient is φ = 18526592.

The previous prime is 72006419. The next prime is 72006433. The reversal of 72006420 is 2460027.

It is a happy number.

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, 49747 + ... + 51173.

It is an arithmetic number, because the mean of its divisors is an integer number (2902172).

Almost surely, 2^72006420 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 72006420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104478192).

72006420 is an abundant number, since it is smaller than the sum of its proper divisors (136949964).

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

72006420 is a wasteful number, since it uses less digits than its factorization.

72006420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1497 (or 1466 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 72006420 is about 8485.6596679339. The cubic root of 72006420 is about 416.0291291856.

Adding to 72006420 its reverse (2460027), we get a palindrome (74466447).

The spelling of 72006420 in words is "seventy-two million, six thousand, four hundred twenty".