72727830 has 96 divisors (see below), whose sum is σ = 219458304. Its totient is φ = 16365888.

The previous prime is 72727807. The next prime is 72727843. The reversal of 72727830 is 3872727.

72727830 is a nontrivial binomial coefficient, being equal to C(12061, 2).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41349 + ... + 43071.

It is an arithmetic number, because the mean of its divisors is an integer number (2286024).

Almost surely, 2^72727830 is an apocalyptic number.

72727830 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

72727830 is the 12060-th triangular number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72727830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109729152).

72727830 is an abundant number, since it is smaller than the sum of its proper divisors (146730474).

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

72727830 is a wasteful number, since it uses less digits than its factorization.

72727830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1810 (or 1807 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 72727830 is about 8528.0613271716. The cubic root of 72727830 is about 417.4138706238.

The spelling of 72727830 in words is "seventy-two million, seven hundred twenty-seven thousand, eight hundred thirty".