72701538700 has 144 divisors (see below), whose sum is σ = 191074645440. Its totient is φ = 23439237120.

The previous prime is 72701538691. The next prime is 72701538709. The reversal of 72701538700 is 783510727.

It is an interprime number because it is at equal distance from previous prime (72701538691) and next prime (72701538709).

It is not an unprimeable number, because it can be changed into a prime (72701538709) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19145202 + ... + 19148998.

It is an arithmetic number, because the mean of its divisors is an integer number (1326907260).

Almost surely, 2^72701538700 is an apocalyptic number.

72701538700 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 72701538700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95537322720).

72701538700 is an abundant number, since it is smaller than the sum of its proper divisors (118373106740).

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

72701538700 is a wasteful number, since it uses less digits than its factorization.

72701538700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5444 (or 5437 counting only the distinct ones).

The product of its (nonzero) digits is 82320, while the sum is 40.

The spelling of 72701538700 in words is "seventy-two billion, seven hundred one million, five hundred thirty-eight thousand, seven hundred".