72262036 has 96 divisors (see below), whose sum is σ = 171908352. Its totient is φ = 25712640.

The previous prime is 72262027. The next prime is 72262039. The reversal of 72262036 is 63026227.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 72261995 and 72262013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72262039) by changing a digit.

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 in 31 ways as a sum of consecutive naturals, for example, 193546 + ... + 193918.

It is an arithmetic number, because the mean of its divisors is an integer number (1790712).

Almost surely, 2^72262036 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 72262036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85954176).

72262036 is an abundant number, since it is smaller than the sum of its proper divisors (99646316).

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

72262036 is a wasteful number, since it uses less digits than its factorization.

72262036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

The square root of 72262036 is about 8500.7079705163. The cubic root of 72262036 is about 416.5208358638.

The spelling of 72262036 in words is "seventy-two million, two hundred sixty-two thousand, thirty-six".