72797760 has 336 divisors, whose sum is σ = 300508416. Its totient is φ = 15814656.

The previous prime is 72797749. The next prime is 72797761. The reversal of 72797760 is 6779727.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×72797760² = 10599027722035200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (72797761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 463602 + ... + 463758.

Almost surely, 2^72797760 is an apocalyptic number.

72797760 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 72797760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150254208).

72797760 is an abundant number, since it is smaller than the sum of its proper divisors (227710656).

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

72797760 is a wasteful number, since it uses less digits than its factorization.

72797760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 259308, while the sum is 45.

The square root of 72797760 is about 8532.1603360462. The cubic root of 72797760 is about 417.5476131052.

The spelling of 72797760 in words is "seventy-two million, seven hundred ninety-seven thousand, seven hundred sixty".