72959940 has 120 divisors (see below), whose sum is σ = 236922840. Its totient is φ = 18772992.

The previous prime is 72959921. The next prime is 72959963. The reversal of 72959940 is 4995927.

It can be written as a sum of positive squares in 4 ways, for example, as 777924 + 72182016 = 882^2 + 8496^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 46204 + ... + 47756.

It is an arithmetic number, because the mean of its divisors is an integer number (1974357).

Almost surely, 2^72959940 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 72959940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118461420).

72959940 is an abundant number, since it is smaller than the sum of its proper divisors (163962900).

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

72959940 is a wasteful number, since it uses less digits than its factorization.

72959940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1603 (or 1592 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 72959940 is about 8541.6590894275. The cubic root of 72959940 is about 417.8574561846.

The spelling of 72959940 in words is "seventy-two million, nine hundred fifty-nine thousand, nine hundred forty".