72928590 has 64 divisors (see below), whose sum is σ = 200931840. Its totient is φ = 16594560.

The previous prime is 72928547. The next prime is 72928601. The reversal of 72928590 is 9582927.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 55845 + ... + 57135.

It is an arithmetic number, because the mean of its divisors is an integer number (3139560).

Almost surely, 2^72928590 is an apocalyptic number.

72928590 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 72928590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100465920).

72928590 is an abundant number, since it is smaller than the sum of its proper divisors (128003250).

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

72928590 is a wasteful number, since it uses less digits than its factorization.

72928590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1577.

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 72928590 is about 8539.8237686734. The cubic root of 72928590 is about 417.7975981859.

The spelling of 72928590 in words is "seventy-two million, nine hundred twenty-eight thousand, five hundred ninety".