10072037696 has 56 divisors (see below), whose sum is σ = 23399105856. Its totient is φ = 4211297280.

The previous prime is 10072037659. The next prime is 10072037699. The reversal of 10072037696 is 69673027001.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10072037699) 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, 255806 + ... + 292541.

It is an arithmetic number, because the mean of its divisors is an integer number (417841176).

Almost surely, 2^10072037696 is an apocalyptic number.

10072037696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10072037696 is an abundant number, since it is smaller than the sum of its proper divisors (13327068160).

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

10072037696 is an equidigital number, since it uses as much as digits as its factorization.

10072037696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548407 (or 548397 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 41.

The spelling of 10072037696 in words is "ten billion, seventy-two million, thirty-seven thousand, six hundred ninety-six".