72005740 has 48 divisors (see below), whose sum is σ = 154778400. Its totient is φ = 28131840.

The previous prime is 72005729. The next prime is 72005749. The reversal of 72005740 is 4750027.

It is not an unprimeable number, because it can be changed into a prime (72005749) 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, 217375 + ... + 217705.

It is an arithmetic number, because the mean of its divisors is an integer number (3224550).

Almost surely, 2^72005740 is an apocalyptic number.

It is an amenable number.

72005740 is an abundant number, since it is smaller than the sum of its proper divisors (82772660).

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

72005740 is a wasteful number, since it uses less digits than its factorization.

72005740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 25.

The square root of 72005740 is about 8485.6196002413. The cubic root of 72005740 is about 416.0278195769.

Adding to 72005740 its reverse (4750027), we get a palindrome (76755767).

The spelling of 72005740 in words is "seventy-two million, five thousand, seven hundred forty".