72753100 has 108 divisors (see below), whose sum is σ = 188866384. Its totient is φ = 23811840.

The previous prime is 72753091. The next prime is 72753101. The reversal of 72753100 is 135727.

It is a super-2 number, since 2×72753100² = 10586027119220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (72753101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1372674 + ... + 1372726.

Almost surely, 2^72753100 is an apocalyptic number.

72753100 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 72753100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94433192).

72753100 is an abundant number, since it is smaller than the sum of its proper divisors (116113284).

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

72753100 is a wasteful number, since it uses less digits than its factorization.

72753100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 25.

The square root of 72753100 is about 8529.5427778985. The cubic root of 72753100 is about 417.4622098775.

Adding to 72753100 its reverse (135727), we get a palindrome (72888827).

The spelling of 72753100 in words is "seventy-two million, seven hundred fifty-three thousand, one hundred".