72153632 has 12 divisors (see below), whose sum is σ = 142052526. Its totient is φ = 36076800.

The previous prime is 72153611. The next prime is 72153671. The reversal of 72153632 is 23635127.

It can be written as a sum of positive squares in only one way, i.e., 52475536 + 19678096 = 7244^2 + 4436^2 .

It is a super-2 number, since 2×72153632² = 10412293221582848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 72153595 and 72153604.

It is an unprimeable number.

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 as a sum of consecutive naturals, namely, 1127369 + ... + 1127432.

Almost surely, 2^72153632 is an apocalyptic number.

It is an amenable number.

72153632 is a deficient number, since it is larger than the sum of its proper divisors (69898894).

72153632 is a wasteful number, since it uses less digits than its factorization.

72153632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2254811 (or 2254803 counting only the distinct ones).

The product of its digits is 7560, while the sum is 29.

The square root of 72153632 is about 8494.3294026074. The cubic root of 72153632 is about 416.3124501767.

Adding to 72153632 its reverse (23635127), we get a palindrome (95788759).

The spelling of 72153632 in words is "seventy-two million, one hundred fifty-three thousand, six hundred thirty-two".