72629760 has 240 divisors, whose sum is σ = 271496016. Its totient is φ = 16515072.

The previous prime is 72629759. The next prime is 72629771. The reversal of 72629760 is 6792627.

It is a tau number, because it is divible by the number of its divisors (240).

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, 376224 + ... + 376416.

Almost surely, 2^72629760 is an apocalyptic number.

72629760 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 72629760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135748008).

72629760 is an abundant number, since it is smaller than the sum of its proper divisors (198866256).

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

72629760 is a wasteful number, since it uses less digits than its factorization.

72629760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 39.

The square root of 72629760 is about 8522.3095461266. The cubic root of 72629760 is about 417.2261653484.

The spelling of 72629760 in words is "seventy-two million, six hundred twenty-nine thousand, seven hundred sixty".