72153536 has 84 divisors (see below), whose sum is σ = 177375312. Its totient is φ = 28514304.

The previous prime is 72153533. The next prime is 72153577. The reversal of 72153536 is 63535127.

It is a super-2 number, since 2×72153536² = 10412265514606592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72153533) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75236 + ... + 76188.

Almost surely, 2^72153536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72153536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88687656).

72153536 is an abundant number, since it is smaller than the sum of its proper divisors (105221776).

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

72153536 is a wasteful number, since it uses less digits than its factorization.

72153536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 998 (or 975 counting only the distinct ones).

The product of its digits is 18900, while the sum is 32.

The square root of 72153536 is about 8494.3237517768. The cubic root of 72153536 is about 416.3122655429.

The spelling of 72153536 in words is "seventy-two million, one hundred fifty-three thousand, five hundred thirty-six".