72695670 has 64 divisors (see below), whose sum is σ = 180368640. Its totient is φ = 18741888.

The previous prime is 72695669. The next prime is 72695677. The reversal of 72695670 is 7659627.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72695677) 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, 118284 + ... + 118896.

It is an arithmetic number, because the mean of its divisors is an integer number (2818260).

Almost surely, 2^72695670 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72695670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90184320).

72695670 is an abundant number, since it is smaller than the sum of its proper divisors (107672970).

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

72695670 is a wasteful number, since it uses less digits than its factorization.

72695670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749.

The product of its (nonzero) digits is 158760, while the sum is 42.

The square root of 72695670 is about 8526.1755787692. The cubic root of 72695670 is about 417.3523352196.

The spelling of 72695670 in words is "seventy-two million, six hundred ninety-five thousand, six hundred seventy".