72763540 has 48 divisors (see below), whose sum is σ = 161582400. Its totient is φ = 27447552.

The previous prime is 72763529. The next prime is 72763543. The reversal of 72763540 is 4536727.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 72763496 and 72763505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72763543) 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, 158992 + ... + 159448.

It is an arithmetic number, because the mean of its divisors is an integer number (3366300).

Almost surely, 2^72763540 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 72763540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80791200).

72763540 is an abundant number, since it is smaller than the sum of its proper divisors (88818860).

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

72763540 is a wasteful number, since it uses less digits than its factorization.

72763540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 34.

The square root of 72763540 is about 8530.1547465448. The cubic root of 72763540 is about 417.4821773978.

It can be divided in two parts, 7276 and 3540, that added together give a square (10816 = 104²).

The spelling of 72763540 in words is "seventy-two million, seven hundred sixty-three thousand, five hundred forty".