72036020 has 24 divisors (see below), whose sum is σ = 172886784. Its totient is φ = 24698016.

The previous prime is 72035993. The next prime is 72036061. The reversal of 72036020 is 2063027.

72036020 = T₃₆₃ + T₃₆₄ + ... + T₇₈₂.

72036020 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

72036020 is strictly pandigital in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 72035983 and 72036001.

It is a congruent number.

It is an unprimeable number.

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, 257132 + ... + 257411.

It is an arithmetic number, because the mean of its divisors is an integer number (7203616).

Almost surely, 2^72036020 is an apocalyptic number.

72036020 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

72036020 is an abundant number, since it is smaller than the sum of its proper divisors (100850764).

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

72036020 is a wasteful number, since it uses less digits than its factorization.

72036020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514559 (or 514557 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 20.

The square root of 72036020 is about 8487.4036077001. The cubic root of 72036020 is about 416.0861276922.

Adding to 72036020 its reverse (2063027), we get a palindrome (74099047).

The spelling of 72036020 in words is "seventy-two million, thirty-six thousand, twenty".