72076488 has 64 divisors (see below), whose sum is σ = 202936320. Its totient is φ = 21134400.

The previous prime is 72076409. The next prime is 72076493. The reversal of 72076488 is 88467027.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3781 + ... + 12587.

It is an arithmetic number, because the mean of its divisors is an integer number (3170880).

Almost surely, 2^72076488 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 72076488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101468160).

72076488 is an abundant number, since it is smaller than the sum of its proper divisors (130859832).

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

72076488 is a wasteful number, since it uses less digits than its factorization.

72076488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8858 (or 8854 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The square root of 72076488 is about 8489.7872764870. The cubic root of 72076488 is about 416.1640286336.

It can be divided in two parts, 7207 and 6488, that added together give a triangular number (13695 = T₁₆₅).

The spelling of 72076488 in words is "seventy-two million, seventy-six thousand, four hundred eighty-eight".