72144761500 has 96 divisors (see below), whose sum is σ = 190666030464. Its totient is φ = 23280307200.

The previous prime is 72144761497. The next prime is 72144761581. The reversal of 72144761500 is 516744127.

It is a super-2 number, since 2×72144761500² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 72144761500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 546759 + ... + 665758.

It is an arithmetic number, because the mean of its divisors is an integer number (1986104484).

Almost surely, 2^72144761500 is an apocalyptic number.

72144761500 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

72144761500 is an abundant number, since it is smaller than the sum of its proper divisors (118521268964).

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

72144761500 is a wasteful number, since it uses less digits than its factorization.

72144761500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1212560 (or 1212548 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 37.

The spelling of 72144761500 in words is "seventy-two billion, one hundred forty-four million, seven hundred sixty-one thousand, five hundred".