72895572 has 48 divisors (see below), whose sum is σ = 190852480. Its totient is φ = 24058944.

The previous prime is 72895561. The next prime is 72895577. The reversal of 72895572 is 27559827.

It is a happy number.

72895572 is a `hidden beast` number, since 72 + 8 + 9 + 5 + 572 = 666.

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72895577) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7848 + ... + 14400.

Almost surely, 2^72895572 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72895572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95426240).

72895572 is an abundant number, since it is smaller than the sum of its proper divisors (117956908).

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

72895572 is a wasteful number, since it uses less digits than its factorization.

72895572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6669 (or 6661 counting only the distinct ones).

The product of its digits is 352800, while the sum is 45.

The square root of 72895572 is about 8537.8903717487. The cubic root of 72895572 is about 417.7345368476.

The spelling of 72895572 in words is "seventy-two million, eight hundred ninety-five thousand, five hundred seventy-two".