72765035770 has 96 divisors (see below), whose sum is σ = 158409639360. Its totient is φ = 23975804160.

The previous prime is 72765035767. The next prime is 72765035771. The reversal of 72765035770 is 7753056727.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (72765035771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1319001 + ... + 1373059.

It is an arithmetic number, because the mean of its divisors is an integer number (1650100410).

Almost surely, 2^72765035770 is an apocalyptic number.

72765035770 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

72765035770 is an abundant number, since it is smaller than the sum of its proper divisors (85644603590).

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

72765035770 is a wasteful number, since it uses less digits than its factorization.

72765035770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54188 (or 54181 counting only the distinct ones).

The product of its (nonzero) digits is 2160900, while the sum is 49.

The spelling of 72765035770 in words is "seventy-two billion, seven hundred sixty-five million, thirty-five thousand, seven hundred seventy".