72971790 has 32 divisors (see below), whose sum is σ = 178104960. Its totient is φ = 19128864.

The previous prime is 72971771. The next prime is 72971791. The reversal of 72971790 is 9717927.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72971791) 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 15 ways as a sum of consecutive naturals, for example, 18844 + ... + 22383.

It is an arithmetic number, because the mean of its divisors is an integer number (5565780).

Almost surely, 2^72971790 is an apocalyptic number.

72971790 is an abundant number, since it is smaller than the sum of its proper divisors (105133170).

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

72971790 is a wasteful number, since it uses less digits than its factorization.

72971790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41296.

The product of its (nonzero) digits is 55566, while the sum is 42.

The square root of 72971790 is about 8542.3527204161. The cubic root of 72971790 is about 417.8800774697.

The spelling of 72971790 in words is "seventy-two million, nine hundred seventy-one thousand, seven hundred ninety".