72005290 has 16 divisors (see below), whose sum is σ = 148125312. Its totient is φ = 24687504.

The previous prime is 72005287. The next prime is 72005299. The reversal of 72005290 is 9250027.

It is not an unprimeable number, because it can be changed into a prime (72005299) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 514254 + ... + 514393.

It is an arithmetic number, because the mean of its divisors is an integer number (9257832).

Almost surely, 2^72005290 is an apocalyptic number.

72005290 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

72005290 is an abundant number, since it is smaller than the sum of its proper divisors (76120022).

72005290 is a wasteful number, since it uses less digits than its factorization.

72005290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028661.

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 72005290 is about 8485.5930847525. The cubic root of 72005290 is about 416.0269529196.

The spelling of 72005290 in words is "seventy-two million, five thousand, two hundred ninety".