72870 has 32 divisors (see below), whose sum is σ = 200448. Its totient is φ = 16608.

The previous prime is 72869. The next prime is 72871. The reversal of 72870 is 7827.

It is an interprime number because it is at equal distance from previous prime (72869) and next prime (72871).

It is a self number, because there is not a number n which added to its sum of digits gives 72870.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72871) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37 + ... + 383.

It is an arithmetic number, because the mean of its divisors is an integer number (6264).

2⁷²⁸⁷⁰ is an apocalyptic number.

72870 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 72870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100224).

72870 is an abundant number, since it is smaller than the sum of its proper divisors (127578).

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

72870 is a wasteful number, since it uses less digits than its factorization.

72870 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364.

The product of its (nonzero) digits is 784, while the sum is 24.

The square root of 72870 is about 269.9444387277. The cubic root of 72870 is about 41.7685683597.

The spelling of 72870 in words is "seventy-two thousand, eight hundred seventy".