72086400 has 144 divisors (see below), whose sum is σ = 257323560. Its totient is φ = 19215360.

The previous prime is 72086389. The next prime is 72086401. The reversal of 72086400 is 468027.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72086401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 27549 + ... + 30051.

Almost surely, 2^72086400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128661780).

72086400 is an abundant number, since it is smaller than the sum of its proper divisors (185237160).

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

72086400 is a wasteful number, since it uses less digits than its factorization.

72086400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2533 (or 2513 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 72086400 is about 8490.3710166282. The cubic root of 72086400 is about 416.1831047979.

The spelling of 72086400 in words is "seventy-two million, eighty-six thousand, four hundred".