72708400 has 60 divisors (see below), whose sum is σ = 177354472. Its totient is φ = 28638720.

The previous prime is 72708397. The next prime is 72708403. The reversal of 72708400 is 480727.

It is an interprime number because it is at equal distance from previous prime (72708397) and next prime (72708403).

It is a super-2 number, since 2×72708400² = 10573022861120000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72708403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25444 + ... + 28156.

Almost surely, 2^72708400 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 72708400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88677236).

72708400 is an abundant number, since it is smaller than the sum of its proper divisors (104646072).

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

72708400 is a wasteful number, since it uses less digits than its factorization.

72708400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2798 (or 2787 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 28.

The square root of 72708400 is about 8526.9220707123. The cubic root of 72708400 is about 417.3766951534.

The spelling of 72708400 in words is "seventy-two million, seven hundred eight thousand, four hundred".