72136740 has 96 divisors (see below), whose sum is σ = 227033856. Its totient is φ = 16980480.

The previous prime is 72136733. The next prime is 72136747. The reversal of 72136740 is 4763127.

It is an interprime number because it is at equal distance from previous prime (72136733) and next prime (72136747).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 72136698 and 72136707.

It is not an unprimeable number, because it can be changed into a prime (72136747) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15930 + ... + 19950.

It is an arithmetic number, because the mean of its divisors is an integer number (2364936).

Almost surely, 2^72136740 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 72136740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113516928).

72136740 is an abundant number, since it is smaller than the sum of its proper divisors (154897116).

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

72136740 is a wasteful number, since it uses less digits than its factorization.

72136740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4069 (or 4067 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 72136740 is about 8493.3350340134. The cubic root of 72136740 is about 416.2799597875.

Adding to 72136740 its reverse (4763127), we get a palindrome (76899867).

The spelling of 72136740 in words is "seventy-two million, one hundred thirty-six thousand, seven hundred forty".