72172512 has 96 divisors (see below), whose sum is σ = 212808960. Its totient is φ = 23794560.

The previous prime is 72172493. The next prime is 72172519. The reversal of 72172512 is 21527127.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72172519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88587 + ... + 89397.

It is an arithmetic number, because the mean of its divisors is an integer number (2216760).

Almost surely, 2^72172512 is an apocalyptic number.

72172512 is a gapful number since it is divisible by the number (72) 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 72172512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106404480).

72172512 is an abundant number, since it is smaller than the sum of its proper divisors (140636448).

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

72172512 is a wasteful number, since it uses less digits than its factorization.

72172512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933 (or 919 counting only the distinct ones).

The product of its digits is 1960, while the sum is 27.

The square root of 72172512 is about 8495.4406595538. The cubic root of 72172512 is about 416.3487583217.

Adding to 72172512 its reverse (21527127), we get a palindrome (93699639).

The spelling of 72172512 in words is "seventy-two million, one hundred seventy-two thousand, five hundred twelve".