72635346 has 96 divisors (see below), whose sum is σ = 190370880. Its totient is φ = 20466432.

The previous prime is 72635341. The next prime is 72635371. The reversal of 72635346 is 64353627.

Its product of digits (90720) is a multiple of the sum of its prime factors (405).

It is a self number, because there is not a number n which added to its sum of digits gives 72635346.

It is not an unprimeable number, because it can be changed into a prime (72635341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 256521 + ... + 256803.

It is an arithmetic number, because the mean of its divisors is an integer number (1983030).

Almost surely, 2^72635346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72635346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95185440).

72635346 is an abundant number, since it is smaller than the sum of its proper divisors (117735534).

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

72635346 is a wasteful number, since it uses less digits than its factorization.

72635346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 392 counting only the distinct ones).

The product of its digits is 90720, while the sum is 36.

The square root of 72635346 is about 8522.6372678884. The cubic root of 72635346 is about 417.2368614488.

The spelling of 72635346 in words is "seventy-two million, six hundred thirty-five thousand, three hundred forty-six".