72821910 has 64 divisors (see below), whose sum is σ = 208438272. Its totient is φ = 15920256.

The previous prime is 72821899. The next prime is 72821923. The reversal of 72821910 is 1912827.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 2709 + ... + 12368.

It is an arithmetic number, because the mean of its divisors is an integer number (3256848).

Almost surely, 2^72821910 is an apocalyptic number.

72821910 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

72821910 is an abundant number, since it is smaller than the sum of its proper divisors (135616362).

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

72821910 is a wasteful number, since it uses less digits than its factorization.

72821910 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15117.

The product of its (nonzero) digits is 2016, while the sum is 30.

The square root of 72821910 is about 8533.5754522943. The cubic root of 72821910 is about 417.5937805514.

The spelling of 72821910 in words is "seventy-two million, eight hundred twenty-one thousand, nine hundred ten".