72613100 has 144 divisors (see below), whose sum is σ = 192696000. Its totient is φ = 23708160.

The previous prime is 72613097. The next prime is 72613109. The reversal of 72613100 is 131627.

It is a happy number.

It is a super-2 number, since 2×72613100² = 10545324583220000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (72613109) 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, 994664 + ... + 994736.

Almost surely, 2^72613100 is an apocalyptic number.

72613100 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72613100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96348000).

72613100 is an abundant number, since it is smaller than the sum of its proper divisors (120082900).

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

72613100 is a wasteful number, since it uses less digits than its factorization.

72613100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 72613100 is about 8521.3320554946. The cubic root of 72613100 is about 417.1942614408.

Adding to 72613100 its reverse (131627), we get a palindrome (72744727).

The spelling of 72613100 in words is "seventy-two million, six hundred thirteen thousand, one hundred".