72407556 has 144 divisors (see below), whose sum is σ = 220147200. Its totient is φ = 19823616.

The previous prime is 72407551. The next prime is 72407561. The reversal of 72407556 is 65570427.

It is an interprime number because it is at equal distance from previous prime (72407551) and next prime (72407561).

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

It is a self number, because there is not a number n which added to its sum of digits gives 72407556.

It is not an unprimeable number, because it can be changed into a prime (72407551) 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, 150925 + ... + 151403.

It is an arithmetic number, because the mean of its divisors is an integer number (1528800).

Almost surely, 2^72407556 is an apocalyptic number.

72407556 is a gapful number since it is divisible by the number (76) 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 72407556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110073600).

72407556 is an abundant number, since it is smaller than the sum of its proper divisors (147739644).

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

72407556 is a wasteful number, since it uses less digits than its factorization.

72407556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 72407556 is about 8509.2629528062. The cubic root of 72407556 is about 416.8002424712.

The spelling of 72407556 in words is "seventy-two million, four hundred seven thousand, five hundred fifty-six".