72356100 has 144 divisors (see below), whose sum is σ = 219985920. Its totient is φ = 18345600.

The previous prime is 72356087. The next prime is 72356101. The reversal of 72356100 is 165327.

It is not an unprimeable number, because it can be changed into a prime (72356101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 915861 + ... + 915939.

It is an arithmetic number, because the mean of its divisors is an integer number (1527680).

Almost surely, 2^72356100 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 72356100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109992960).

72356100 is an abundant number, since it is smaller than the sum of its proper divisors (147629820).

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

72356100 is a wasteful number, since it uses less digits than its factorization.

72356100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 72356100 is about 8506.2388868406. The cubic root of 72356100 is about 416.7014868678.

The spelling of 72356100 in words is "seventy-two million, three hundred fifty-six thousand, one hundred".