72151632 has 120 divisors (see below), whose sum is σ = 238318080. Its totient is φ = 19941120.

The previous prime is 72151619. The next prime is 72151633. The reversal of 72151632 is 23615127.

It is a happy number.

72151632 is a `hidden beast` number, since 7 + 21 + 5 + 1 + 632 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 72151596 and 72151605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72151633) 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 23 ways as a sum of consecutive naturals, for example, 30094 + ... + 32402.

It is an arithmetic number, because the mean of its divisors is an integer number (1985984).

Almost surely, 2^72151632 is an apocalyptic number.

72151632 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 72151632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119159040).

72151632 is an abundant number, since it is smaller than the sum of its proper divisors (166166448).

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

72151632 is a wasteful number, since it uses less digits than its factorization.

72151632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2361 (or 2352 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 72151632 is about 8494.2116761946. The cubic root of 72151632 is about 416.3086036039.

Adding to 72151632 its reverse (23615127), we get a palindrome (95766759).

The spelling of 72151632 in words is "seventy-two million, one hundred fifty-one thousand, six hundred thirty-two".