72773540 has 48 divisors (see below), whose sum is σ = 176074752. Its totient is φ = 24748416.

The previous prime is 72773539. The next prime is 72773543. The reversal of 72773540 is 4537727.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 72773540.

It is not an unprimeable number, because it can be changed into a prime (72773543) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15734 + ... + 19826.

It is an arithmetic number, because the mean of its divisors is an integer number (3668224).

Almost surely, 2^72773540 is an apocalyptic number.

72773540 is a gapful number since it is divisible by the number (70) 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 72773540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88037376).

72773540 is an abundant number, since it is smaller than the sum of its proper divisors (103301212).

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

72773540 is a wasteful number, since it uses less digits than its factorization.

72773540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4236 (or 4234 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 35.

The square root of 72773540 is about 8530.7408822446. The cubic root of 72773540 is about 417.5013015844.

The spelling of 72773540 in words is "seventy-two million, seven hundred seventy-three thousand, five hundred forty".