72065370 has 64 divisors (see below), whose sum is σ = 187246080. Its totient is φ = 17645568.

The previous prime is 72065353. The next prime is 72065387. The reversal of 72065370 is 7356027.

It is an interprime number because it is at equal distance from previous prime (72065353) and next prime (72065387).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99871 + ... + 100589.

It is an arithmetic number, because the mean of its divisors is an integer number (2925720).

Almost surely, 2^72065370 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72065370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93623040).

72065370 is an abundant number, since it is smaller than the sum of its proper divisors (115180710).

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

72065370 is a wasteful number, since it uses less digits than its factorization.

72065370 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 999.

The product of its (nonzero) digits is 8820, while the sum is 30.

The square root of 72065370 is about 8489.1324645101. The cubic root of 72065370 is about 416.1426293779.

The spelling of 72065370 in words is "seventy-two million, sixty-five thousand, three hundred seventy".