72765164241700 has 144 divisors (see below), whose sum is σ = 185340763681920. Its totient is φ = 24277279380480.

The previous prime is 72765164241697. The next prime is 72765164241713. The reversal of 72765164241700 is 714246156727.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3603504 + ... + 12590296.

It is an arithmetic number, because the mean of its divisors is an integer number (1287088636680).

Almost surely, 2^{72765164241700} is an apocalyptic number.

72765164241700 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72765164241700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92670381840960).

72765164241700 is an abundant number, since it is smaller than the sum of its proper divisors (112575599440220).

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

72765164241700 is a wasteful number, since it uses less digits than its factorization.

72765164241700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8987126 (or 8987119 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 52.

The spelling of 72765164241700 in words is "seventy-two trillion, seven hundred sixty-five billion, one hundred sixty-four million, two hundred forty-one thousand, seven hundred".