72612020 has 48 divisors (see below), whose sum is σ = 164919888. Its totient is φ = 26695680.

The previous prime is 72612017. The next prime is 72612047. The reversal of 72612020 is 2021627.

It can be written as a sum of positive squares in 8 ways, for example, as 31292836 + 41319184 = 5594^2 + 6428^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 72611983 and 72612001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81980 + ... + 82860.

It is an arithmetic number, because the mean of its divisors is an integer number (3435831).

Almost surely, 2^72612020 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 72612020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82459944).

72612020 is an abundant number, since it is smaller than the sum of its proper divisors (92307868).

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

72612020 is a wasteful number, since it uses less digits than its factorization.

72612020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1220 (or 1218 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 72612020 is about 8521.2686848849. The cubic root of 72612020 is about 417.1921930719.

Adding to 72612020 its reverse (2021627), we get a palindrome (74633647).

The spelling of 72612020 in words is "seventy-two million, six hundred twelve thousand, twenty".