72072919296 has 729 divisors, whose sum is σ = 262366899249. Its totient is φ = 18968592384.

The previous prime is 72072919283. The next prime is 72072919307. The reversal of 72072919296 is 69291927027.

The square root of 72072919296 is 268464.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 56112134400 + 15960784896 = 236880^2 + 126336^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1533466345 + ... + 1533466391.

Almost surely, 2^72072919296 is an apocalyptic number.

72072919296 is the 268464-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72072919296

72072919296 is an abundant number, since it is smaller than the sum of its proper divisors (190293979953).

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

72072919296 is a wasteful number, since it uses less digits than its factorization.

72072919296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 54.

The spelling of 72072919296 in words is "seventy-two billion, seventy-two million, nine hundred nineteen thousand, two hundred ninety-six".