72918790 has 32 divisors (see below), whose sum is σ = 152472384. Its totient is φ = 24589440.

The previous prime is 72918773. The next prime is 72918793. The reversal of 72918790 is 9781927.

It is a happy number.

It is a super-3 number, since 3×72918790³ (a number of 25 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72918793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4269 + ... + 12808.

It is an arithmetic number, because the mean of its divisors is an integer number (4764762).

Almost surely, 2^72918790 is an apocalyptic number.

72918790 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

72918790 is the 4270-th decagonal number.

72918790 is an abundant number, since it is smaller than the sum of its proper divisors (79553594).

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

72918790 is a wasteful number, since it uses less digits than its factorization.

72918790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17152.

The product of its (nonzero) digits is 63504, while the sum is 43.

The square root of 72918790 is about 8539.2499670639. The cubic root of 72918790 is about 417.7788830753.

The spelling of 72918790 in words is "seventy-two million, nine hundred eighteen thousand, seven hundred ninety".