72007026 has 64 divisors (see below), whose sum is σ = 181429248. Its totient is φ = 18543168.

The previous prime is 72007009. The next prime is 72007027. The reversal of 72007026 is 62070027.

It is a junction number, because it is equal to n+sod(n) for n = 72006987 and 72007005.

It is not an unprimeable number, because it can be changed into a prime (72007027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21945 + ... + 25011.

It is an arithmetic number, because the mean of its divisors is an integer number (2834832).

Almost surely, 2^72007026 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72007026, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90714624).

72007026 is an abundant number, since it is smaller than the sum of its proper divisors (109422222).

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

72007026 is a wasteful number, since it uses less digits than its factorization.

72007026 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3135.

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 72007026 is about 8485.6953751593. The cubic root of 72007026 is about 416.0302962711.

The spelling of 72007026 in words is "seventy-two million, seven thousand, twenty-six".