72006211620 has 216 divisors, whose sum is σ = 257937930432. Its totient is φ = 15927373440.

The previous prime is 72006211603. The next prime is 72006211621. The reversal of 72006211620 is 2611260027.

72006211620 is a `hidden beast` number, since 7 + 2 + 0 + 0 + 621 + 16 + 20 = 666.

It is not an unprimeable number, because it can be changed into a prime (72006211621) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1181127 + ... + 1240593.

Almost surely, 2^72006211620 is an apocalyptic number.

72006211620 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72006211620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128968965216).

72006211620 is an abundant number, since it is smaller than the sum of its proper divisors (185931718812).

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

72006211620 is a wasteful number, since it uses less digits than its factorization.

72006211620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59551 (or 59515 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

Adding to 72006211620 its reverse (2611260027), we get a palindrome (74617471647).

The spelling of 72006211620 in words is "seventy-two billion, six million, two hundred eleven thousand, six hundred twenty".