72354620 has 96 divisors (see below), whose sum is σ = 173408256. Its totient is φ = 25171200.

The previous prime is 72354617. The next prime is 72354631. The reversal of 72354620 is 2645327.

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 378725 + ... + 378915.

It is an arithmetic number, because the mean of its divisors is an integer number (1806336).

Almost surely, 2^72354620 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 72354620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86704128).

72354620 is an abundant number, since it is smaller than the sum of its proper divisors (101053636).

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

72354620 is a wasteful number, since it uses less digits than its factorization.

72354620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 29.

The square root of 72354620 is about 8506.1518914254. The cubic root of 72354620 is about 416.6986457233.

Adding to 72354620 its reverse (2645327), we get a palindrome (74999947).

The spelling of 72354620 in words is "seventy-two million, three hundred fifty-four thousand, six hundred twenty".