72695040 has 144 divisors (see below), whose sum is σ = 253423296. Its totient is φ = 17612800.

The previous prime is 72695039. The next prime is 72695081. The reversal of 72695040 is 4059627.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 72694992 and 72695010.

It is a congruent number.

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, 41380 + ... + 43100.

It is an arithmetic number, because the mean of its divisors is an integer number (1759884).

Almost surely, 2^72695040 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 72695040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126711648).

72695040 is an abundant number, since it is smaller than the sum of its proper divisors (180728256).

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

72695040 is a wasteful number, since it uses less digits than its factorization.

72695040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1756 (or 1742 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 72695040 is about 8526.1386336372. The cubic root of 72695040 is about 417.3511295873.

The spelling of 72695040 in words is "seventy-two million, six hundred ninety-five thousand, forty".