72620 has 12 divisors (see below), whose sum is σ = 152544. Its totient is φ = 29040.

The previous prime is 72617. The next prime is 72623. The reversal of 72620 is 2627.

It is an interprime number because it is at equal distance from previous prime (72617) and next prime (72623).

It is not an unprimeable number, because it can be changed into a prime (72623) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1796 + ... + 1835.

It is an arithmetic number, because the mean of its divisors is an integer number (12712).

2⁷²⁶²⁰ is an apocalyptic number.

It is an amenable number.

72620 is an abundant number, since it is smaller than the sum of its proper divisors (79924).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76272).

72620 is a wasteful number, since it uses less digits than its factorization.

72620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3640 (or 3638 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 72620 is about 269.4809826314. The cubic root of 72620 is about 41.7207475536.

The spelling of 72620 in words is "seventy-two thousand, six hundred twenty".