37272234745440 has 576 divisors, whose sum is σ = 132796353021696. Its totient is φ = 9872104200192.

The previous prime is 37272234745423. The next prime is 37272234745457. The reversal of 37272234745440 is 4454743227273.

37272234745440 is a `hidden beast` number, since 3 + 7 + 2 + 7 + 2 + 23 + 4 + 74 + 544 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (37272234745423) and next prime (37272234745457).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3909806914 + ... + 3909816446.

It is an arithmetic number, because the mean of its divisors is an integer number (230549223996).

Almost surely, 2^{37272234745440} is an apocalyptic number.

37272234745440 is a gapful number since it is divisible by the number (30) 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 37272234745440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66398176510848).

37272234745440 is an abundant number, since it is smaller than the sum of its proper divisors (95524118276256).

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

37272234745440 is a wasteful number, since it uses less digits than its factorization.

37272234745440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10233 (or 10213 counting only the distinct ones).

The product of its (nonzero) digits is 31610880, while the sum is 54.

The spelling of 37272234745440 in words is "thirty-seven trillion, two hundred seventy-two billion, two hundred thirty-four million, seven hundred forty-five thousand, four hundred forty".