72037940 has 36 divisors (see below), whose sum is σ = 163819404. Its totient is φ = 26597376.

The previous prime is 72037913. The next prime is 72037951. The reversal of 72037940 is 4973027.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 21939856 + 50098084 = 4684^2 + 7078^2 .

It is a junction number, because it is equal to n+sod(n) for n = 72037897 and 72037906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7277 + ... + 14036.

It is an arithmetic number, because the mean of its divisors is an integer number (4550539).

Almost surely, 2^72037940 is an apocalyptic number.

It is an amenable number.

72037940 is an abundant number, since it is smaller than the sum of its proper divisors (91781464).

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

72037940 is a wasteful number, since it uses less digits than its factorization.

72037940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21348 (or 21333 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 32.

The square root of 72037940 is about 8487.5167157420. The cubic root of 72037940 is about 416.0898243534.

The spelling of 72037940 in words is "seventy-two million, thirty-seven thousand, nine hundred forty".