72034000 has 40 divisors (see below), whose sum is σ = 174183048. Its totient is φ = 28812800.

The previous prime is 72033989. The next prime is 72034009. The reversal of 72034000 is 43027.

It can be written as a sum of positive squares in 4 ways, for example, as 2944656 + 69089344 = 1716^2 + 8312^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72034009) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 16009 + ... + 20008.

Almost surely, 2^72034000 is an apocalyptic number.

It is an amenable number.

72034000 is an abundant number, since it is smaller than the sum of its proper divisors (102149048).

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

72034000 is a wasteful number, since it uses less digits than its factorization.

72034000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36040 (or 36024 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 16.

The square root of 72034000 is about 8487.2846069871. The cubic root of 72034000 is about 416.0822384258.

Adding to 72034000 its reverse (43027), we get a palindrome (72077027).

The spelling of 72034000 in words is "seventy-two million, thirty-four thousand".