72345020 has 48 divisors (see below), whose sum is σ = 166320000. Its totient is φ = 26214720.

The previous prime is 72345019. The next prime is 72345023. The reversal of 72345020 is 2054327.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72345023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109451 + ... + 110109.

It is an arithmetic number, because the mean of its divisors is an integer number (3465000).

Almost surely, 2^72345020 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 72345020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83160000).

72345020 is an abundant number, since it is smaller than the sum of its proper divisors (93974980).

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

72345020 is a wasteful number, since it uses less digits than its factorization.

72345020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1178 (or 1176 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 23.

The square root of 72345020 is about 8505.5875752355. The cubic root of 72345020 is about 416.6802157372.

Adding to 72345020 its reverse (2054327), we get a palindrome (74399347).

The spelling of 72345020 in words is "seventy-two million, three hundred forty-five thousand, twenty".