72707076 has 72 divisors (see below), whose sum is σ = 198942744. Its totient is φ = 22256640.

The previous prime is 72707069. The next prime is 72707081. The reversal of 72707076 is 67070727.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 14400 + 72692676 = 120^2 + 8526^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 72707076.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 157486 + ... + 157946.

Almost surely, 2^72707076 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 72707076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99471372).

72707076 is an abundant number, since it is smaller than the sum of its proper divisors (126235668).

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

72707076 is a wasteful number, since it uses less digits than its factorization.

72707076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 28812, while the sum is 36.

The square root of 72707076 is about 8526.8444339040. The cubic root of 72707076 is about 417.3741616997.

The spelling of 72707076 in words is "seventy-two million, seven hundred seven thousand, seventy-six".