72613632 has 144 divisors (see below), whose sum is σ = 238085120. Its totient is φ = 19132416.

The previous prime is 72613631. The next prime is 72613633. The reversal of 72613632 is 23631627.

It is an interprime number because it is at equal distance from previous prime (72613631) and next prime (72613633).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 72613632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72613631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69369 + ... + 70407.

Almost surely, 2^72613632 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 72613632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119042560).

72613632 is an abundant number, since it is smaller than the sum of its proper divisors (165471488).

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

72613632 is a wasteful number, since it uses less digits than its factorization.

72613632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078 (or 1064 counting only the distinct ones).

The product of its digits is 9072, while the sum is 30.

The square root of 72613632 is about 8521.3632712143. The cubic root of 72613632 is about 417.1952802965.

The spelling of 72613632 in words is "seventy-two million, six hundred thirteen thousand, six hundred thirty-two".