72699520 has 64 divisors (see below), whose sum is σ = 179836200. Its totient is φ = 28069888.

The previous prime is 72699511. The next prime is 72699521. The reversal of 72699520 is 2599627.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 66977856 + 5721664 = 8184^2 + 2392^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (72699521) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16602 + ... + 20518.

Almost surely, 2^72699520 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 72699520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89918100).

72699520 is an abundant number, since it is smaller than the sum of its proper divisors (107136680).

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

72699520 is a wasteful number, since it uses less digits than its factorization.

72699520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3965 (or 3953 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 40.

The square root of 72699520 is about 8526.4013510977. The cubic root of 72699520 is about 417.3597028208.

The spelling of 72699520 in words is "seventy-two million, six hundred ninety-nine thousand, five hundred twenty".