72407826 has 12 divisors (see below), whose sum is σ = 156883662. Its totient is φ = 24135936.

The previous prime is 72407821. The next prime is 72407831. The reversal of 72407826 is 62870427.

It is an interprime number because it is at equal distance from previous prime (72407821) and next prime (72407831).

It can be written as a sum of positive squares in only one way, i.e., 70308225 + 2099601 = 8385^2 + 1449^2 .

It is a super-3 number, since 3×72407826³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (72407821) 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 5 ways as a sum of consecutive naturals, for example, 2011311 + ... + 2011346.

Almost surely, 2^72407826 is an apocalyptic number.

72407826 is an abundant number, since it is smaller than the sum of its proper divisors (84475836).

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

72407826 is a wasteful number, since it uses less digits than its factorization.

72407826 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4022665 (or 4022662 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 72407826 is about 8509.2788178552. The cubic root of 72407826 is about 416.8007605383.

The spelling of 72407826 in words is "seventy-two million, four hundred seven thousand, eight hundred twenty-six".