72393620 has 24 divisors (see below), whose sum is σ = 163721544. Its totient is φ = 26729856.

The previous prime is 72393611. The next prime is 72393623. The reversal of 72393620 is 2639327.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3104644 + 69288976 = 1762^2 + 8324^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72393623) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 138959 + ... + 139478.

It is an arithmetic number, because the mean of its divisors is an integer number (6821731).

Almost surely, 2^72393620 is an apocalyptic number.

It is an amenable number.

72393620 is an abundant number, since it is smaller than the sum of its proper divisors (91327924).

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

72393620 is a wasteful number, since it uses less digits than its factorization.

72393620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278459 (or 278457 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 32.

The square root of 72393620 is about 8508.4440410688. Note that the first 3 decimals coincide. The cubic root of 72393620 is about 416.7735007830.

It can be divided in two parts, 7239 and 3620, that multiplied together give a triangular number (26205180 = T₇₂₃₉).

The spelling of 72393620 in words is "seventy-two million, three hundred ninety-three thousand, six hundred twenty".