72084400 has 30 divisors (see below), whose sum is σ = 173183732. Its totient is φ = 28833600.

The previous prime is 72084379. The next prime is 72084409. The reversal of 72084400 is 448027.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (72084409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 89706 + ... + 90505.

Almost surely, 2^72084400 is an apocalyptic number.

It is an amenable number.

72084400 is an abundant number, since it is smaller than the sum of its proper divisors (101099332).

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

72084400 is a wasteful number, since it uses less digits than its factorization.

72084400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180229 (or 180218 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

The square root of 72084400 is about 8490.2532353281. The cubic root of 72084400 is about 416.1792558337.

The spelling of 72084400 in words is "seventy-two million, eighty-four thousand, four hundred".