72075740 has 96 divisors (see below), whose sum is σ = 178295040. Its totient is φ = 24192000.

The previous prime is 72075739. The next prime is 72075761. The reversal of 72075740 is 4757027.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 72075697 and 72075706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 179540 + ... + 179940.

It is an arithmetic number, because the mean of its divisors is an integer number (1857240).

Almost surely, 2^72075740 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 72075740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89147520).

72075740 is an abundant number, since it is smaller than the sum of its proper divisors (106219300).

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

72075740 is a wasteful number, since it uses less digits than its factorization.

72075740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 13720, while the sum is 32.

The square root of 72075740 is about 8489.7432234432. The cubic root of 72075740 is about 416.1625889974.

The spelling of 72075740 in words is "seventy-two million, seventy-five thousand, seven hundred forty".