72950080 has 112 divisors (see below), whose sum is σ = 205557120. Its totient is φ = 24127488.

The previous prime is 72950071. The next prime is 72950081. The reversal of 72950080 is 8005927.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72950081) 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, 64399 + ... + 65521.

Almost surely, 2^72950080 is an apocalyptic number.

72950080 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72950080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102778560).

72950080 is an abundant number, since it is smaller than the sum of its proper divisors (132607040).

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

72950080 is a wasteful number, since it uses less digits than its factorization.

72950080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1176 (or 1166 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 72950080 is about 8541.0818986824. The cubic root of 72950080 is about 417.8386318812.

The spelling of 72950080 in words is "seventy-two million, nine hundred fifty thousand, eighty".