33722730 has 160 divisors (see below), whose sum is σ = 100362240. Its totient is φ = 8087040.

The previous prime is 33722719. The next prime is 33722753. The reversal of 33722730 is 3722733.

It is a happy number.

It is a super-2 number, since 2×33722730² = 2274445037305800, which contains 22 as substring.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 33722694 and 33722703.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 426831 + ... + 426909.

It is an arithmetic number, because the mean of its divisors is an integer number (627264).

Almost surely, 2^33722730 is an apocalyptic number.

33722730 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 33722730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50181120).

33722730 is an abundant number, since it is smaller than the sum of its proper divisors (66639510).

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

33722730 is a wasteful number, since it uses less digits than its factorization.

33722730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 27.

The square root of 33722730 is about 5807.1275171121. The cubic root of 33722730 is about 323.0781408902.

33722730 divided by its sum of digits (27) gives a triangular number (1248990 = T₁₅₈₀).

The spelling of 33722730 in words is "thirty-three million, seven hundred twenty-two thousand, seven hundred thirty".