133072362 has 48 divisors (see below), whose sum is σ = 314171520. Its totient is φ = 41743296.

The previous prime is 133072361. The next prime is 133072363. The reversal of 133072362 is 263270331.

It is an interprime number because it is at equal distance from previous prime (133072361) and next prime (133072363).

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

It is not an unprimeable number, because it can be changed into a prime (133072361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11343 + ... + 19869.

It is an arithmetic number, because the mean of its divisors is an integer number (6545240).

Almost surely, 2^133072362 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133072362, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157085760).

133072362 is an abundant number, since it is smaller than the sum of its proper divisors (181099158).

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

133072362 is a wasteful number, since it uses less digits than its factorization.

133072362 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8572 (or 8549 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 133072362 is about 11535.6994586371. The cubic root of 133072362 is about 510.5394292422.

The spelling of 133072362 in words is "one hundred thirty-three million, seventy-two thousand, three hundred sixty-two".