72427940 has 48 divisors (see below), whose sum is σ = 167311872. Its totient is φ = 26169216.

The previous prime is 72427937. The next prime is 72427951. The reversal of 72427940 is 4972427.

72427940 = T₂₄₆ + T₂₄₇ + ... + T₇₆₅.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 72427940.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9257 + ... + 15183.

It is an arithmetic number, because the mean of its divisors is an integer number (3485664).

Almost surely, 2^72427940 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 72427940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83655936).

72427940 is an abundant number, since it is smaller than the sum of its proper divisors (94883932).

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

72427940 is a wasteful number, since it uses less digits than its factorization.

72427940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5996 (or 5994 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 35.

The square root of 72427940 is about 8510.4606220815. The cubic root of 72427940 is about 416.8393510002.

The spelling of 72427940 in words is "seventy-two million, four hundred twenty-seven thousand, nine hundred forty".