72694940 has 48 divisors (see below), whose sum is σ = 157604832. Its totient is φ = 28148736.

The previous prime is 72694939. The next prime is 72694961. The reversal of 72694940 is 4949627.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117512 + ... + 118128.

It is an arithmetic number, because the mean of its divisors is an integer number (3283434).

Almost surely, 2^72694940 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 72694940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78802416).

72694940 is an abundant number, since it is smaller than the sum of its proper divisors (84909892).

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

72694940 is a wasteful number, since it uses less digits than its factorization.

72694940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 41.

The square root of 72694940 is about 8526.1327693158. The cubic root of 72694940 is about 417.3509382165.

The spelling of 72694940 in words is "seventy-two million, six hundred ninety-four thousand, nine hundred forty".