72075733 has 6 divisors (see below), whose sum is σ = 76565186. Its totient is φ = 67835712.

The previous prime is 72075727. The next prime is 72075739. The reversal of 72075733 is 33757027.

It is an interprime number because it is at equal distance from previous prime (72075727) and next prime (72075739).

It can be written as a sum of positive squares in 3 ways, for example, as 32913169 + 39162564 = 5737^2 + 6258^2 .

It is not a de Polignac number, because 72075733 - 2¹⁷ = 71944661 is a prime.

It is a super-2 number, since 2×72075733² = 10389822574974578, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72075739) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 124410 + ... + 124987.

Almost surely, 2^72075733 is an apocalyptic number.

It is an amenable number.

72075733 is a deficient number, since it is larger than the sum of its proper divisors (4489453).

72075733 is a wasteful number, since it uses less digits than its factorization.

72075733 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249431 (or 249414 counting only the distinct ones).

The product of its (nonzero) digits is 30870, while the sum is 34.

The square root of 72075733 is about 8489.7428111810. The cubic root of 72075733 is about 416.1625755248.

The spelling of 72075733 in words is "seventy-two million, seventy-five thousand, seven hundred thirty-three".