72653100 has 108 divisors (see below), whose sum is σ = 227782296. Its totient is φ = 17871360.

The previous prime is 72653099. The next prime is 72653167. The reversal of 72653100 is 135627.

It is a super-2 number, since 2×72653100² = 10556945879220000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 49984 + ... + 51416.

Almost surely, 2^72653100 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 72653100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113891148).

72653100 is an abundant number, since it is smaller than the sum of its proper divisors (155129196).

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

72653100 is a wasteful number, since it uses less digits than its factorization.

72653100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1476 (or 1456 counting only the distinct ones).

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

The square root of 72653100 is about 8523.6787832485. The cubic root of 72653100 is about 417.2708532549.

Adding to 72653100 its reverse (135627), we get a palindrome (72788727).

The spelling of 72653100 in words is "seventy-two million, six hundred fifty-three thousand, one hundred".