72373760 has 80 divisors (see below), whose sum is σ = 183845376. Its totient is φ = 27230208.

The previous prime is 72373751. The next prime is 72373771. The reversal of 72373760 is 6737327.

72373760 = T₂₅₇ + T₂₅₈ + ... + T₇₆₆.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×72373760² = 10475922273075200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 72373760.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42689 + ... + 44351.

Almost surely, 2^72373760 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 72373760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91922688).

72373760 is an abundant number, since it is smaller than the sum of its proper divisors (111471616).

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

72373760 is a wasteful number, since it uses less digits than its factorization.

72373760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1703 (or 1687 counting only the distinct ones).

The product of its (nonzero) digits is 37044, while the sum is 35.

The square root of 72373760 is about 8507.2768851143. The cubic root of 72373760 is about 416.7353856436.

The spelling of 72373760 in words is "seventy-two million, three hundred seventy-three thousand, seven hundred sixty".