72057620 has 48 divisors (see below), whose sum is σ = 158699520. Its totient is φ = 27430656.

The previous prime is 72057617. The next prime is 72057631. The reversal of 72057620 is 2675027.

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 15 ways as a sum of consecutive naturals, for example, 175976 + ... + 176384.

It is an arithmetic number, because the mean of its divisors is an integer number (3306240).

Almost surely, 2^72057620 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 72057620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79349760).

72057620 is an abundant number, since it is smaller than the sum of its proper divisors (86641900).

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

72057620 is a wasteful number, since it uses less digits than its factorization.

72057620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 29.

The square root of 72057620 is about 8488.6759862772. The cubic root of 72057620 is about 416.1277113435.

The spelling of 72057620 in words is "seventy-two million, fifty-seven thousand, six hundred twenty".