72879000 has 128 divisors (see below), whose sum is σ = 240926400. Its totient is φ = 18278400.

The previous prime is 72878959. The next prime is 72879007. The reversal of 72879000 is 97827.

It is a super-2 number, since 2×72879000² = 10622697282000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72879007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50286 + ... + 51714.

Almost surely, 2^72879000 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 72879000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120463200).

72879000 is an abundant number, since it is smaller than the sum of its proper divisors (168047400).

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

72879000 is a wasteful number, since it uses less digits than its factorization.

72879000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1470 (or 1456 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

The square root of 72879000 is about 8536.9198192322. The cubic root of 72879000 is about 417.7028786768.

The spelling of 72879000 in words is "seventy-two million, eight hundred seventy-nine thousand".