72534100 has 18 divisors (see below), whose sum is σ = 157399214. Its totient is φ = 29013600.

The previous prime is 72534073. The next prime is 72534103. The reversal of 72534100 is 143527.

It can be written as a sum of positive squares in 3 ways, for example, as 318096 + 72216004 = 564^2 + 8498^2 .

It is a super-2 number, since 2×72534100² = 10522391325620000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72534103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 362571 + ... + 362770.

Almost surely, 2^72534100 is an apocalyptic number.

It is an amenable number.

72534100 is an abundant number, since it is smaller than the sum of its proper divisors (84865114).

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

72534100 is a wasteful number, since it uses less digits than its factorization.

72534100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725355 (or 725348 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 72534100 is about 8516.6953685100. The cubic root of 72534100 is about 417.0429099339.

Adding to 72534100 its reverse (143527), we get a palindrome (72677627).

The spelling of 72534100 in words is "seventy-two million, five hundred thirty-four thousand, one hundred".