72000414 has 80 divisors (see below), whose sum is σ = 170058240. Its totient is φ = 22832280.

The previous prime is 72000371. The next prime is 72000421. The reversal of 72000414 is 41400027.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 39 ways as a sum of consecutive naturals, for example, 1220317 + ... + 1220375.

It is an arithmetic number, because the mean of its divisors is an integer number (2125728).

Almost surely, 2^72000414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72000414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85029120).

72000414 is an abundant number, since it is smaller than the sum of its proper divisors (98057826).

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

72000414 is an frugal number, since it uses more digits than its factorization.

72000414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 72000414 is about 8485.3057693875. The cubic root of 72000414 is about 416.0175619743.

The spelling of 72000414 in words is "seventy-two million, four hundred fourteen", and thus it is an aban number.