72647040 has 128 divisors (see below), whose sum is σ = 234004320. Its totient is φ = 19169280.

The previous prime is 72647027. The next prime is 72647063. The reversal of 72647040 is 4074627.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 72646989 and 72647007.

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 15 ways as a sum of consecutive naturals, for example, 301320 + ... + 301560.

Almost surely, 2^72647040 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 72647040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117002160).

72647040 is an abundant number, since it is smaller than the sum of its proper divisors (161357280).

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

72647040 is a wasteful number, since it uses less digits than its factorization.

72647040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 30.

The square root of 72647040 is about 8523.3232955227. The cubic root of 72647040 is about 417.2592514022.

The spelling of 72647040 in words is "seventy-two million, six hundred forty-seven thousand, forty".