72654940 has 48 divisors (see below), whose sum is σ = 163289952. Its totient is φ = 27058176.

The previous prime is 72654937. The next prime is 72654941. The reversal of 72654940 is 4945627.

It is a self number, because there is not a number n which added to its sum of digits gives 72654940.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72654941) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31879 + ... + 34081.

It is an arithmetic number, because the mean of its divisors is an integer number (3401874).

Almost surely, 2^72654940 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 72654940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81644976).

72654940 is an abundant number, since it is smaller than the sum of its proper divisors (90635012).

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

72654940 is a wasteful number, since it uses less digits than its factorization.

72654940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2326 (or 2324 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 72654940 is about 8523.7867171815. The cubic root of 72654940 is about 417.2743758019.

The spelling of 72654940 in words is "seventy-two million, six hundred fifty-four thousand, nine hundred forty".