72451100 has 54 divisors (see below), whose sum is σ = 161520912. Its totient is φ = 28208000.

The previous prime is 72451097. The next prime is 72451129. The reversal of 72451100 is 115427.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 167885 + ... + 168315.

It is an arithmetic number, because the mean of its divisors is an integer number (2991128).

Almost surely, 2^72451100 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 72451100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80760456).

72451100 is an abundant number, since it is smaller than the sum of its proper divisors (89069812).

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

72451100 is a wasteful number, since it uses less digits than its factorization.

72451100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 20.

The square root of 72451100 is about 8511.8211917309. The cubic root of 72451100 is about 416.8837766300.

Adding to 72451100 its reverse (115427), we get a palindrome (72566527).

The spelling of 72451100 in words is "seventy-two million, four hundred fifty-one thousand, one hundred".