72353106 has 48 divisors (see below), whose sum is σ = 182832000. Its totient is φ = 20670552.

The previous prime is 72353087. The next prime is 72353107. The reversal of 72353106 is 60135327.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 72353106.

It is not an unprimeable number, because it can be changed into a prime (72353107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 315 + ... + 12033.

It is an arithmetic number, because the mean of its divisors is an integer number (3809000).

Almost surely, 2^72353106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72353106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91416000).

72353106 is an abundant number, since it is smaller than the sum of its proper divisors (110478894).

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

72353106 is a wasteful number, since it uses less digits than its factorization.

72353106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11748 (or 11731 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 72353106 is about 8506.0628965462. The cubic root of 72353106 is about 416.6957392692.

The spelling of 72353106 in words is "seventy-two million, three hundred fifty-three thousand, one hundred six".