72684942 has 48 divisors (see below), whose sum is σ = 162887760. Its totient is φ = 21598720.

The previous prime is 72684929. The next prime is 72684947. The reversal of 72684942 is 24948627.

It is a junction number, because it is equal to n+sod(n) for n = 72684894 and 72684903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72684947) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37534 + ... + 39422.

It is an arithmetic number, because the mean of its divisors is an integer number (3393495).

Almost surely, 2^72684942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72684942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81443880).

72684942 is an abundant number, since it is smaller than the sum of its proper divisors (90202818).

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

72684942 is a wasteful number, since it uses less digits than its factorization.

72684942 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1969 (or 1958 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 72684942 is about 8525.5464341003. The cubic root of 72684942 is about 417.3318040741.

The spelling of 72684942 in words is "seventy-two million, six hundred eighty-four thousand, nine hundred forty-two".