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72414475 = 52717101241
BaseRepresentation
bin1000101000011…
…11010100001011
312001021000222121
410110033110023
5122014230400
611104032111
71536340630
oct424172413
9161230877
1072414475
1137970081
1220302637
1312005803
149890187
15655621a
hex450f50b

72414475 has 48 divisors (see below), whose sum is σ = 110189376. Its totient is φ = 46080000.

The previous prime is 72414457. The next prime is 72414499. The reversal of 72414475 is 57441427.

It is a happy number.

It is not a de Polignac number, because 72414475 - 29 = 72413963 is a prime.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 72414475.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 300355 + ... + 300595.

It is an arithmetic number, because the mean of its divisors is an integer number (2295612).

Almost surely, 272414475 is an apocalyptic number.

72414475 is a deficient number, since it is larger than the sum of its proper divisors (37774901).

72414475 is a wasteful number, since it uses less digits than its factorization.

72414475 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 371 counting only the distinct ones).

The product of its digits is 31360, while the sum is 34.

The square root of 72414475 is about 8509.6695000452. The cubic root of 72414475 is about 416.8135180149.

The spelling of 72414475 in words is "seventy-two million, four hundred fourteen thousand, four hundred seventy-five".

Divisors: 1 5 7 17 25 35 85 101 119 175 241 425 505 595 707 1205 1687 1717 2525 2975 3535 4097 6025 8435 8585 12019 17675 20485 24341 28679 42175 42925 60095 102425 121705 143395 170387 300475 413797 608525 716975 851935 2068985 2896579 4259675 10344925 14482895 72414475