72538000 has 40 divisors (see below), whose sum is σ = 175401720. Its totient is φ = 29014400.

The previous prime is 72537989. The next prime is 72538003. The reversal of 72538000 is 83527.

It can be written as a sum of positive squares in 4 ways, for example, as 898704 + 71639296 = 948^2 + 8464^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×72538000² = 10523522888000000, 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 (72538003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16135 + ... + 20134.

It is an arithmetic number, because the mean of its divisors is an integer number (4385043).

Almost surely, 2^72538000 is an apocalyptic number.

It is an amenable number.

72538000 is an abundant number, since it is smaller than the sum of its proper divisors (102863720).

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

72538000 is a wasteful number, since it uses less digits than its factorization.

72538000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36292 (or 36276 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 72538000 is about 8516.9243274788. The cubic root of 72538000 is about 417.0503842952.

The spelling of 72538000 in words is "seventy-two million, five hundred thirty-eight thousand".