72031356 has 60 divisors (see below), whose sum is σ = 198231880. Its totient is φ = 22744800.

The previous prime is 72031339. The next prime is 72031367. The reversal of 72031356 is 65313027.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 306 + ... + 12006.

Almost surely, 2^72031356 is an apocalyptic number.

72031356 is a gapful number since it is divisible by the number (76) 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 72031356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99115940).

72031356 is an abundant number, since it is smaller than the sum of its proper divisors (126200524).

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

72031356 is a wasteful number, since it uses less digits than its factorization.

72031356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11736 (or 11725 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 72031356 is about 8487.1288431365. The cubic root of 72031356 is about 416.0771476126.

The spelling of 72031356 in words is "seventy-two million, thirty-one thousand, three hundred fifty-six".