72831360 has 128 divisors (see below), whose sum is σ = 265363200. Its totient is φ = 16644096.

The previous prime is 72831347. The next prime is 72831371. The reversal of 72831360 is 6313827.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10731 + ... + 16149.

It is an arithmetic number, because the mean of its divisors is an integer number (2073150).

Almost surely, 2^72831360 is an apocalyptic number.

72831360 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72831360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132681600).

72831360 is an abundant number, since it is smaller than the sum of its proper divisors (192531840).

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

72831360 is a wasteful number, since it uses less digits than its factorization.

72831360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5448 (or 5436 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 72831360 is about 8534.1291295597. The cubic root of 72831360 is about 417.6118432953.

The spelling of 72831360 in words is "seventy-two million, eight hundred thirty-one thousand, three hundred sixty".