72632100 has 72 divisors (see below), whose sum is σ = 211236480. Its totient is φ = 19268480.

The previous prime is 72632093. The next prime is 72632129. The reversal of 72632100 is 123627.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71194 + ... + 72206.

It is an arithmetic number, because the mean of its divisors is an integer number (2933840).

Almost surely, 2^72632100 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 72632100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105618240).

72632100 is an abundant number, since it is smaller than the sum of its proper divisors (138604380).

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

72632100 is a wasteful number, since it uses less digits than its factorization.

72632100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1269 (or 1262 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 72632100 is about 8522.4468317497. The cubic root of 72632100 is about 417.2306460587.

Adding to 72632100 its reverse (123627), we get a palindrome (72755727).

The spelling of 72632100 in words is "seventy-two million, six hundred thirty-two thousand, one hundred".