72036408 has 32 divisors (see below), whose sum is σ = 181008000. Its totient is φ = 23889888.

The previous prime is 72036403. The next prime is 72036409. The reversal of 72036408 is 80463027.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72036403) 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, 2766 + ... + 12317.

It is an arithmetic number, because the mean of its divisors is an integer number (5656500).

Almost surely, 2^72036408 is an apocalyptic number.

It is an amenable number.

72036408 is an abundant number, since it is smaller than the sum of its proper divisors (108971592).

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

72036408 is a wasteful number, since it uses less digits than its factorization.

72036408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15291 (or 15287 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 72036408 is about 8487.4264650717. The cubic root of 72036408 is about 416.0868747311.

It can be divided in two parts, 720 and 36408, that added together give a triangular number (37128 = T₂₇₂).

The spelling of 72036408 in words is "seventy-two million, thirty-six thousand, four hundred eight".