72005020 has 24 divisors (see below), whose sum is σ = 154900368. Its totient is φ = 28099200.

The previous prime is 72004981. The next prime is 72005023. The reversal of 72005020 is 2050027.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 72004985 and 72005003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72005023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43086 + ... + 44725.

It is an arithmetic number, because the mean of its divisors is an integer number (6454182).

Almost surely, 2^72005020 is an apocalyptic number.

It is an amenable number.

72005020 is an abundant number, since it is smaller than the sum of its proper divisors (82895348).

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

72005020 is a wasteful number, since it uses less digits than its factorization.

72005020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87861 (or 87859 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 16.

The square root of 72005020 is about 8485.5771754195. The cubic root of 72005020 is about 416.0264329235.

Adding to 72005020 its reverse (2050027), we get a palindrome (74055047).

The spelling of 72005020 in words is "seventy-two million, five thousand, twenty".