72627408 has 240 divisors, whose sum is σ = 251055360. Its totient is φ = 20030976.

The previous prime is 72627403. The next prime is 72627409. The reversal of 72627408 is 80472627.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72627403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 994860 + ... + 994932.

It is an arithmetic number, because the mean of its divisors is an integer number (1046064).

Almost surely, 2^72627408 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 72627408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125527680).

72627408 is an abundant number, since it is smaller than the sum of its proper divisors (178427952).

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

72627408 is a wasteful number, since it uses less digits than its factorization.

72627408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 72627408 is about 8522.1715542460. The cubic root of 72627408 is about 417.2216615632.

The spelling of 72627408 in words is "seventy-two million, six hundred twenty-seven thousand, four hundred eight".